# Guozhen Lu

Chinese American mathematician

## Guozhen Lu's AcademicInfluence.com Rankings

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## Guozhen Lu's Degrees

- PhD Mathematics Princeton University
- Masters Mathematics Princeton University
- Bachelors Mathematics Peking University

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## Why Is Guozhen Lu Influential?

(Suggest an Edit or Addition)According to Wikipedia, Guozhen Lu is a professor of mathematics at the University of Connecticut. He is known for his contributions to harmonic analysis, geometric analysis, and partial differential equations. Education and career Lu graduated from Zhejiang University in Hangzhou, China in 1983 and earned his Ph.D. from Rutgers University in 1991. He was a Bateman Research Instructor in the Department of Mathematics at the California Institute of Technology from 1991 to 1993, an assistant professor in the Department of Mathematics and Statistics at Wright State University from 1993 to 1997, and an associate professor of the same department from 1997 to 2000 before he moved to Wayne State University. He became a professor of mathematics at Wayne State University in 2002. He joined the University of Connecticut in 2016 as a professor. Lu has co-organized many international conferences, including the series of the East Asian Conference in Harmonic Analysis and Applications, which is held annually, rotating between China, Japan, and Korea.

## Guozhen Lu's Published Works

### Published Works

- Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates (2011) (313)
- Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications. (1992) (195)
- Best constants for Moser-Trudinger inequalities on the Heisenberg group (2001) (144)
- A new approach to sharp Moser–Trudinger and Adams type inequalities: A rearrangement-free argument (2013) (139)
- Representation formulas and weighted Poincar inequalities for Hrmander vector fields (1995) (129)
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications ✩ (2012) (122)
- Existence and multiplicity of solutions to equations of $N-$Laplacian type with critical exponential growth in $\mathbb{R}^{N}$ (2011) (117)
- The sharp Poincaré inequality for free vector fields: an endpoint result. (1994) (115)
- Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition (2014) (114)
- A relationship between Poincaré-type inequalities and representation formulas in spaces of homogeneous type (1996) (104)
- Convex functions on the Heisenberg group (2003) (98)
- Inhomogeneous infinity Laplace equation (2008) (92)
- Symmetry and regularity of extremals of an integral equation related to the Hardy–Sobolev inequality (2011) (91)
- Adams' inequalities for bi-Laplacian and extremal functions in dimension four (2009) (79)
- Embedding theorems into Lipschitz and BMO spaces and applications to quasilinear subelliptic differential equations (1996) (76)
- Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities (2015) (73)
- A PDE Perspective of the Normalized Infinity Laplacian (2008) (66)
- Sharp constant and extremal function for the improvedMoser-Trudinger inequality involving $L^p$ norm in two dimension (2009) (64)
- Sharp constants for Moser‐Trudinger inequalities on spheres in complex space ℂn (2004) (64)
- Singular integrals and commutators on homogeneous groups (2002) (63)
- Existence and multiplicity of solutions to equations of N-Laplacian type with critical exponential growth in RN (2011) (61)
- Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs (2014) (58)
- Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness (2014) (56)
- Boman equals John (1996) (55)
- N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition (2013) (54)
- Sharp Adams type inequalities in Sobolev spaces Wm,nm(Rn) for arbitrary integer m (2012) (53)
- An overdetermined problem in Riesz-potential and fractional Laplacian (2011) (53)
- Best Constants for Moser-Trudinger Inequalities on High Dimensional Hyperbolic Spaces (2013) (52)
- Sharp Moser–Trudinger Inequalities on Hyperbolic Spaces with Exact Growth Condition (2016) (51)
- Concentration-compactness principle for Trudinger–Moser inequalities on Heisenberg groups and existence of ground state solutions (2017) (48)
- Sharp Hardy–Adams inequalities for bi-Laplacian on hyperbolic space of dimension four (2017) (48)
- Discrete Littlewood-Paley-Stein theory and multi-parameter Hardy spaces associated with flag singular integrals (2008) (48)
- Polynomials, Higher Order Sobolev Extension Theorems and Interpolation Inequalities on Weighted Folland-Stein Spaces on Stratified Groups (2000) (45)
- EXISTENCE OF NONTRIVIAL SOLUTIONS TO POLYHARMONIC EQUATIONS WITH SUBCRITICAL AND CRITICAL EXPONENTIAL GROWTH (2012) (45)
- Fourier analysis and optimal Hardy–Adams inequalities on hyperbolic spaces of any even dimension (2018) (45)
- Some equivalent definitions of high order Sobolev spaces on stratified groups and generalizations to metric spaces (2002) (44)
- Convex functions on Carnot groups. (2007) (44)
- Sharp Constants and Optimizers for a Class of Caffarelli–Kohn–Nirenberg Inequalities (2015) (43)
- On Nonuniformly Subelliptic Equations of Q−sub-Laplacian Type with Critical Growth in the Heisenberg Group (2012) (42)
- Duality of multiparameter Hardy spaces Hp on spaces of homogeneous type (2010) (41)
- Sharp singular Adams inequalities in high order Sobolev spaces (2011) (41)
- FLAG HARDY SPACES AND MARCINKIEWICZ MULTIPLIERS ON THE HEISENBERG GROUP (2012) (41)
- Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type (2012) (41)
- Best constants and existence of maximizers for weighted Trudinger–Moser inequalities (2016) (40)
- Paneitz operators on hyperbolic spaces and high order Hardy-Sobolev-Maz'ya inequalities on half spaces (2019) (40)
- High order representation formulas and embedding theorems on stratified groups and generalizations (2000) (40)
- Best Constants for Moser-Trudinger Inequalities, Fundamental Solutions and One-Parameter Representation Formulas on Groups of Heisenberg Type (2002) (40)
- INFINITY LAPLACE EQUATION WITH NON-TRIVIAL RIGHT-HAND SIDE (2010) (40)
- Hardy–Littlewood–Sobolev and Stein–Weiss inequalities and integral systems on the Heisenberg group (2012) (40)
- Embedding theorems on Campanato-Morrey spaces for vector fields and applications (1995) (39)
- Weighted Poincaré inequalities for Hörmander vector fields and local regularity for a class of degenerate elliptic equations (1995) (39)
- Existence and size estimates for the green's functions of differential operators constructed from degenerate vector fields (1992) (38)
- On a Sobolev inequality with remainder terms (1999) (38)
- Characterization of balls in terms of Bessel-potential integral equation (2012) (37)
- Embedding theorems on Campanato-Morrey spaces for vector fields of Hörmander type (1998) (36)
- Boundedness of Singular Integrals on Multiparameter Weighted Hardy Spaces $\text{{\textit{H}}}^\text{{\textit{p}}}_{\text{{\textit{w}}}}\ (\mathbb{R}^{\text{{\textit{n}}}}\times \mathbb{R}^{\text{{\textit{m}}}})$ (2012) (36)
- Axial symmetry and regularity of solutions to an integral equation in a half-space (2011) (36)
- A sharp Trudinger–Moser inequality on any bounded and convex planar domain (2015) (36)
- Existence and nonexistence of positive radial solutions for a class of semilinear elliptic system (1999) (35)
- Sharp weighted Trudinger–Moser and Caffarelli–Kohn–Nirenberg inequalities and their extremal functions (2018) (34)
- Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities (2019) (34)
- Hardy spaces associated with different homogeneities and boundedness of composition operators (2013) (33)
- Boundedness criterion of Journéʼs class of singular integrals on multiparameter Hardy spaces (2013) (33)
- Discrete Calderón’s Identity, Atomic Decomposition and Boundedness Criterion of Operators on Multiparameter Hardy Spaces (2010) (32)
- On Harnack's inequality for a class of strongly degenerate Schrödinger operators formed by vector fields (1994) (32)
- Local and global interpolation inequalities on the Folland-Stein Sobolev spaces and polynomials on stratified groups (1997) (31)
- Sharpened Adams Inequality and Ground State Solutions to the Bi-Laplacian Equation in ℝ4 (2018) (30)
- An Optimal Representation Formula for Carnot–Carathéodory Vector Fields (1998) (29)
- Recent developments in geometry and analysis (2012) (29)
- Liouville Type Theorems for PDE and IE Systems Involving Fractional Laplacian on a Half Space (2017) (29)
- Factorizations and Hardy’s type identities and inequalities on upper half spaces (2019) (29)
- Duality theory of weighted Hardy spaces with arbitrary number of parameters (2014) (28)
- A sharpened Moser-Pohozaev-Trudinger inequality with mean value zero in R2 (2009) (28)
- Sharp Singular Trudinger–Moser Inequalities in Lorentz–Sobolev Spaces (2016) (27)
- Best Constants for Adams’ Inequalities with the Exact Growth Condition in ℝn (2015) (27)
- Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals (2010) (27)
- $L^{p}$ estimates for multi-linear and multi-parameter pseudo-differential operators (2013) (27)
- The Moser-Trudinger inequality in unbounded domains of Heisenberg group and sub-elliptic equations (2012) (26)
- Sharp Affine and Improved Moser–Trudinger–Adams Type Inequalities on Unbounded Domains in the Spirit of Lions (2017) (26)
- Symbolic Calculus and Boundedness of Multi-parameter and Multi-linear Pseudo-differential Operators (2014) (25)
- Subelliptic Poincaré inequalities: the case p < 1 (1995) (25)
- A sharp Trudinger-Moser type inequality involving L norm in the entire space Rn (2019) (24)
- L p boundedness of rough bi-parameter Fourier integral operators (2015) (24)
- Boundedness of Singular Integrals in Journé’s Class on Weighted Multiparameter Hardy Spaces (2014) (24)
- On positive entire solutions to the Yamabe-type problem on the Heisenberg and stratified groups (1997) (24)
- Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators (2016) (24)
- Geometric Hardy's inequalities with general distance functions (2020) (23)
- Sub-elliptic global high order Poincaré inequalities in stratified Lie groups and applications (2007) (22)
- Simultaneous Representation and Approximation Formulas and High-Order Sobolev Embedding Theorems on Stratified Groups (2004) (22)
- Sharp Adams and Hardy-Adams inequalities of any fractional order on hyperbolic spaces of all dimensions (2020) (22)
- Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters (2013) (21)
- Symmetry and Regularity of Solutions to the Weighted Hardy–Sobolev Type System (2015) (21)
- Sharp Singular Trudinger–Moser Inequalities Under Different Norms (2019) (21)
- POINCARE INEQUALITIES, ISOPERIMETRIC ESTIMATES, AND REPRESENTATION FORMULAS ON PRODUCT SPACES (1998) (21)
- Regularity of solutions to an integral equation associated with Bessel potential (2011) (20)
- On nonlinear Schrödinger equations with totally degenerate potentials (1998) (19)
- Reverse Stein–Weiss inequalities and existence of their extremal functions (2018) (18)
- Multi-parameter local Hardy spaces (2019) (18)
- Existence of extremal functions for the Stein–Weiss inequalities on the Heisenberg group (2018) (17)
- Liouville-type theorems and decay estimates for solutions to higher order elliptic equations (2012) (16)
- Existence and nonexistence of extremals for critical Adams inequalities in R4 and Trudinger-Moser inequalities in R2 (2018) (16)
- Stein–Weiss inequalities with the fractional Poisson kernel (2018) (16)
- Boundedness of multi-parameter Fourier multiplier operators on Triebel–Lizorkin and Besov–Lipschitz spaces (2016) (16)
- Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces (2019) (15)
- Sharp weighted Trudinger–Moser–Adams inequalities on the whole space and the existence of their extremals (2019) (15)
- A Poincaré inequality on Rn and its application to potential fluid flows in space (2004) (15)
- Sharpness Results and Knapp’s Homogeneity Argument (2000) (14)
- Global Poincaré Inequalities on the Heisenberg Group and Applications (2007) (14)
- New characterizations of Sobolev spaces on the Heisenberg group (2014) (13)
- Multi-parameter Triebel–Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition (2016) (13)
- Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness (2018) (13)
- Discrete Littlewood–Paley–Stein characterization of multi-parameter local Hardy spaces (2019) (13)
- L1→Lq Poincaré Inequalities for 0 < q < 1 Imply Representation Formulas (2002) (13)
- A note on a poincaré type inequality for solutions to subelliptic equations (1996) (13)
- Bounds of Singular Integrals on Weighted Hardy Spaces and Discrete Littlewood–Paley Analysis (2012) (13)
- Covering lemmas and an application to nodal geometry on Riemannian manifolds (1993) (13)
- Weighted L p estimates for rough bi-parameter Fourier integral operators (2018) (13)
- The Maximum Principles and Symmetry results for Viscosity Solutions of Fully Nonlinear Equations (2013) (12)
- Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝn (2021) (12)
- Hp → Hp boundedness implies Hp → Lp boundedness (2011) (12)
- Hardy-Sobolev-Maz'ya inequalities for higher order derivatives on half spaces (2017) (11)
- Sharp Hardy Identities and Inequalities on Carnot Groups (2021) (11)
- On a prioriC1,αandW2,Pestimates for a parabolic Monge-Ampère Equation in the Gauss Curvature Flows (2006) (11)
- Ground states of bi-harmonic equations with critical exponential growth involving constant and trapping potentials (2019) (10)
- Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument (2021) (10)
- Hardy—Littlewood—Sobolev Inequalities with the Fractional Poisson Kernel and Their Applications in PDEs (2019) (10)
- Reverse Stein–Weiss Inequalities on the Upper Half Space and the Existence of Their Extremals (2019) (9)
- Sharp Singular Trudinger-Moser-Adams Type Inequalities with Exact Growth (2015) (9)
- Asymptotic behavior of radial solutions for a class of semilinear elliptic equations (1997) (9)
- Bi-parameter and bilinear Calderón–Vaillancourt theorem with subcritical order (2016) (9)
- A critical Trudinger-Moser inequality involving a degenerate potential and nonlinear Schrödinger equations (2021) (9)
- On the uniqueness of a solution of a two-phase free boundary problem (2010) (9)
- Dual Spaces of Weighted Multi-Parameter Hardy Spaces Associated with the Zygmund Dilation (2012) (8)
- Sharp Adams type inequalities in Sobolev spaces $W^{m,\frac{n}{m}}(\mathbb{R}^{n})$ for arbitrary integer $m$ (2011) (8)
- Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space (2017) (8)
- Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition in variable exponent Sobolev spaces (2015) (8)
- L^p estimates for a trilinear pseudo-differential operator with flag symbols (2017) (8)
- POLYHARMONIC EQUATIONS WITH CRITICAL EXPONENTIAL GROWTH IN THE WHOLE SPACE R n (2016) (8)
- Characterizations of second order Sobolev spaces (2015) (8)
- p-Bessel Pairs, Hardy’s Identities and Inequalities and Hardy–Sobolev Inequalities with Monomial Weights (2022) (8)
- Critical and subcritical Trudinger-Moser inequalities on complete noncompact Riemannian manifolds (2021) (8)
- Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces (2020) (8)
- Polyharmonic equations with critical exponential growth in the whole space $\mathbb{R}^{n}$ (2015) (8)
- Best constants and existence of maximizers for weighted Moser-Trudinger inequalities (2015) (7)
- Atomic decomposition and boundedness criterion of operators on multi-parameter hardy spaces of homogeneous type (2012) (7)
- Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón–Zygmund operators and applications (2018) (7)
- A geometric covering lemma and nodal sets of eigenfunctions (2011) (7)
- Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces (2020) (7)
- Hardy Space Estimates for Littlewood–Paley–Stein Square Functions and Calderón–Zygmund Operators (2015) (6)
- Higher order Poincaré inequalities associated with linear operators on stratified groups and applications (2003) (6)
- Hardy’s Identities and Inequalities on Cartan-Hadamard Manifolds (2021) (6)
- Weighted Moser–Onofri–Beckner and Logarithmic Sobolev Inequalities (2018) (5)
- Liouville-type Theorems for Fully Nonlinear Elliptic Equations and Systems in Half Spaces (2013) (5)
- N-Laplacian equations in $\mathbb{R}^{N}$ with subcritical and critical growth without the Ambrosetti-Rabinowitz condition (2010) (5)
- Existence of Solutions to Fractional p-Laplacian Systems with Homogeneous Nonlinearities of Critical Sobolev Growth (2020) (5)
- Unique Continuation with Weak Type Lower Order Terms (1997) (5)
- Model Predictive Control for Trajectory Tracking on Differentiable Manifolds (2021) (5)
- Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups (2013) (5)
- On conformally invariant equation $$( - \Delta )^p u - K(x)u^{\tfrac{{N + 2p}}{{N - 2p}}} = 0$$ and its generalizationsand its generalizations (2001) (5)
- Higher order Brezis-Nirenberg problem on hyperbolic spaces: Existence, nonexistence and symmetry of solutions (2021) (5)
- ON REGULARITY OF SOLUTIONS TO AN INTEGRAL SYSTEM ASSOCIATED WITH BESSEL POTENTIALS (2012) (5)
- Hardy space estimates for bilinear square functions and Calderón-Zygmund operators (2016) (4)
- Unique continuation with weak type lower order terms: The variable coefficient case (1995) (4)
- Covering Lemmas and HMO Estimates for Eigenfunctions on Riemannian Surfaces (1991) (4)
- Potential Analysis on Carnot Groups, Part II: Relationship between Hausdorff Measures and Capacities (2004) (4)
- Sharp Hardy–Trudinger–Moser inequalities in any N-dimensional hyperbolic spaces (2020) (4)
- A sharp Trudinger-Moser type inequality involving $L^{n}$ norm in the entire space $\mathbb{R}^{n}$ (2017) (4)
- Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces (2021) (4)
- Lp estimates for bilinear and multiparameter Hilbert transforms (2014) (4)
- Maximizers for Fractional Caffarelli–Kohn–Nirenberg and Trudinger–Moser Inequalities on the Fractional Sobolev Spaces (2020) (3)
- Asymptotics of radial oscillatory solutions of semilinear elliptic equations (2001) (3)
- Hörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spaces (2021) (3)
- Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds (2022) (3)
- Sharp Stability of Log-Sobolev and Moser-Onofri inequalities on the Sphere (2022) (3)
- Concentration-compactness principle for Trudinger–Moser inequalities on Heisenberg groups and existence of ground state solutions (2018) (3)
- Simultaneous Approximations for Functions in Sobolev Spaces by Derivatives of Polyharmonic Cardinal Splines (1999) (3)
- Gagliardo-Nirenberg and Sobolev interpolation inequalities on Besov spaces (2021) (3)
- Viscosity solutions to inhomogeneous Aronsson’s equations involving Hamiltonians ⟨A(x)p,p⟩\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt (2018) (2)
- Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols (2018) (2)
- Symmetry of solutions to higher and fractional order semilinear equations on hyperbolic spaces (2022) (2)
- Existence and non-existence of ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials (2021) (2)
- Extendability and the @ operator on the Hartogs triangle (2022) (2)
- Hörmander Fourier multiplier theorems with optimal regularity in bi-parameter Besov spaces (2021) (2)
- On a relative Alexandrov-Fenchel inequality for convex bodies in Euclidean spaces (2006) (2)
- On second order minimal Lagrangian sub manifolds in complex space forms (2005) (2)
- Sharpened Trudinger–Moser Inequalities on the Euclidean Space and Heisenberg Group (2021) (2)
- Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities (2022) (1)
- Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-$L^{\infty }$ spaces (2022) (1)
- Extendability and the $$\overline{\partial }$$ operator on the Hartogs triangle (2021) (1)
- Stability of Hardy-Littlewood-Sobolev inequalities with explicit lower bounds (2023) (1)
- Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators (2022) (1)
- Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group (2022) (1)
- Potential Characterizations of Geodesic Balls on Hyperbolic Spaces: A Moving Plane Approach (2023) (1)
- Harmonic Analysis, Partial Differential Equations and Applications (2017) (1)
- Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on quaternionic hyperbolic spaces and the Cayley hyperbolic plane (2021) (1)
- The Chang-Marshall Trace Inequality for Sobolev functions in domains in higher dimensional space R (2021) (1)
- Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters (2012) (1)
- Hardy Space Estimates for Littlewood–Paley–Stein Square Functions and Calderón–Zygmund Operators (2015) (0)
- Sharp Moser–Trudinger Inequalities on Hyperbolic Spaces with Exact Growth Condition (2015) (0)
- Elliptic Equations and Systems with Subcritical and Critical Exponential Growth Without the Ambrosetti–Rabinowitz Condition (2012) (0)
- The Chang-Marshall Trace Inequality for Sobolev functions in domains in higher dimensional space $\mathbb{R}^n$ (2021) (0)
- Boundedness of Singular Integrals on Multiparameter Weighted Hardy Spaces \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{documen (2011) (0)
- Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals (2023) (0)
- $L^p$ boundedness for maximal functions associated with multi-linear pseudo-differential operators (2017) (0)
- Hardy—Littlewood—Sobolev Inequalities with the Fractional Poisson Kernel and Their Applications in PDEs (2019) (0)
- Maximizers for Fractional Caffarelli–Kohn–Nirenberg and Trudinger–Moser Inequalities on the Fractional Sobolev Spaces (2020) (0)
- Viscosity solutions to inhomogeneous Aronsson’s equations involving Hamiltonians $$\langle A(x)p,p\rangle $$⟨A(x)p,p⟩ (2018) (0)
- Liouville Type Theorems for PDE and IE Systems Involving Fractional Laplacian on a Half Space (2016) (0)
- Existence and Non-existence of Extremals for Critical Adams Inequality in any Even Dimension (2022) (0)
- Endpoint estimates for a trilinear pseudo-differential operator with flag symbols (2021) (0)
- ESTIMATES FOR MULTILINEAR AND MULTI-PARAMETER PSEUDO-DIFFERENTIAL OPERATORS by Wei Dai (2016) (0)
- Boman equals (0)
- Uniqueness of positive solutions to elliptic equations with the critical exponential growth on the unit disc and its applications (2022) (0)
- Sub-Riemannian Geometric Analysis and PDE's (2015) (0)
- Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on $ \mathbb{S}^n $ (2021) (0)
- Poincaré and Sobolev inequalities for vector fields satisfying Hörmander’s condition in variable exponent Sobolev spaces (2015) (0)
- Boundedness of Singular Integrals in Journé’s Class on Weighted Multiparameter Hardy Spaces (2013) (0)
- Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups (2013) (0)
- Atomic decomposition and boundedness criterion of operators on multi-parameter hardy spaces of homogeneous type (2012) (0)
- Some topics in harmonic analysis and applications (2016) (0)
- Sharp Sobolev and Adams-Trudinger-Moser embeddings on weighted Sobolev spaces and their applications (2023) (0)
- Weighted Moser–Onofri–Beckner and Logarithmic Sobolev Inequalities (2017) (0)
- A sharp Trudinger–Moser inequality on any bounded and convex planar domain (2016) (0)
- Bubbling phenomenon for semilinear Neumann elliptic equations of critical exponential growth (2023) (0)
- Qualitative properties of solutions to an integral system associated with the Bessel potential (2016) (0)
- Liouville-type theorems for fully nonlinear elliptic equation in half spaces (2012) (0)
- Preface for the special issue on “Nonlinear Analysis and Partial Differential Equations”: In honor of Professor Shair Ahmad on the occasion of his 85th birthday and retirement (2020) (0)
- A SHARPENED FORM OF ADAMS TYPE INEQUALITIES ON HIGHER ORDER SOBOLEV SPACES : A SIMPLE APPROACH (2021) (0)
- $L^{p}$ estimates for the bilinear Hilbert transform for $1/2 (2014) (0)
- Bounds of Singular Integrals on Weighted Hardy Spaces and Discrete Littlewood–Paley Analysis (2011) (0)
- Sharp Critical and Subcritical Trace Trudinger–Moser and Adams Inequalities on the Upper Half-Spaces (2021) (0)
- Best constants and existence of maximizers for weighted Trudinger–Moser inequalities (2016) (0)
- Sharp Affine and Improved Moser–Trudinger–Adams Type Inequalities on Unbounded Domains in the Spirit of Lions (2016) (0)

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Guozhen Lu is affiliated with the following schools: