Serena Dipierro
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Italian mathematician
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Serena Dipierromathematics Degrees
Mathematics
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Differential Geometry
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#117
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Group Theory
#203
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#240
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Geometry
#180
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#255
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Mathematics
Serena Dipierro's Degrees
- PhD Mathematics Consorzio ICoN
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Why Is Serena Dipierro Influential?
(Suggest an Edit or Addition)According to Wikipedia, Serena Dipierro is an Italian mathematician whose research involves partial differential equations, the regularity of their solution, their phase transitions, nonlocal operators, and free boundary problems, with applications including population dynamics, quantum mechanics, crystallography, and mathematical finance. She is a professor in the School of Physics, Mathematics and Computing at the University of Western Australia, where she heads the department of mathematics and statistics.
Serena Dipierro's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian (2012) (245)
- Nonlocal problems with Neumann boundary conditions (2014) (203)
- Fractional elliptic problems with critical growth in the whole of $\R^n$ (2015) (193)
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum (2014) (136)
- All functions are locally $s$-harmonic up to a small error (2014) (89)
- Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting (2013) (86)
- Hardy inequalities on Riemannian manifolds and applications (2012) (84)
- Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential (2015) (82)
- Strongly Nonlocal Dislocation Dynamics in Crystals (2013) (60)
- Mixed local and nonlocal elliptic operators: regularity and maximum principles (2020) (57)
- On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results (2016) (57)
- Boundary behavior of nonlocal minimal surfaces (2015) (52)
- Semilinear elliptic equations involving mixed local and nonlocal operators (2020) (51)
- Bifurcation results for a fractional elliptic equation with critical exponent in R^n (2014) (45)
- A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian (2012) (45)
- Nonlocal minimal surfaces: Interior regularity, quantitative estimates and boundary stickiness (2016) (40)
- A logistic equation with nonlocal interactions (2016) (38)
- (Non)local logistic equations with Neumann conditions (2021) (38)
- Graph properties for nonlocal minimal surfaces (2015) (37)
- Asymptotics of the $s$-perimeter as $s\searrow 0$ (2012) (36)
- Bifurcation results for a fractional elliptic equation with critical exponent in $$\mathbb {R}^n$$Rn (2017) (36)
- ASYMPTOTICS OF THE s -PERIMETER AS s (cid:38) 0 (2013) (36)
- Nonlocal Delaunay surfaces (2015) (35)
- Decay estimates for evolutionary equations with fractional time-diffusion (2017) (35)
- Improvement of Flatness for Nonlocal Phase Transitions (2016) (35)
- A density property for fractional weighted Sobolev spaces (2015) (34)
- Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations (2016) (33)
- Description of an ecological niche for a mixed local/nonlocal dispersal: An evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes (2021) (31)
- Local Density of Solutions to Fractional Equations (2019) (31)
- Definition of fractional Laplacian for functions with polynomial growth (2016) (28)
- A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime (2017) (25)
- Linear theory for a mixed operator with Neumann conditions (2020) (24)
- Wellposedness of a nonlinear peridynamic model (2018) (23)
- Boggio’s formula for fractional polyharmonic Dirichlet problems (2016) (23)
- A Nonlocal Free Boundary Problem (2014) (22)
- Geometric inequalities and symmetryresults for elliptic systems (2012) (22)
- On stationary fractional mean field games (2017) (19)
- A Simple Mathematical Model Inspired by the Purkinje Cells: From Delayed Travelling Waves to Fractional Diffusion (2017) (19)
- Fattening and nonfattening phenomena for planar nonlocal curvature flows (2018) (19)
- The Bernstein Technique for Integro-Differential Equations (2020) (19)
- A Faber-Krahn inequality for mixed local and nonlocal operators (2021) (18)
- STRATIFICATION OF FREE BOUNDARY POINTS FOR A TWO-PHASE VARIATIONAL PROBLEM (2015) (18)
- Non-symmetric stable operators: Regularity theory and integration by parts (2020) (18)
- A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators (2021) (18)
- Nonlocal Minimal Graphs in the Plane are Generically Sticky (2019) (17)
- Planelike Interfaces in Long-Range Ising Models and Connections with Nonlocal Minimal Surfaces (2016) (17)
- Chaotic Orbits for Systems of Nonlocal Equations (2015) (16)
- Singularity Formation in Fractional Burgers’ Equations (2019) (16)
- Positive powers of the Laplacian in the half-space under Dirichlet boundary conditions (2018) (13)
- Boundary properties of fractional objects: Flexibility of linear equations and rigidity of minimal graphs (2019) (12)
- Rigidity results for elliptic boundary value problems: stable solutions for quasilinear equations with Neumann or Robin boundary conditions (2017) (12)
- On stable solutions of boundary reaction-diffusion equations and applications to nonlocal problems with Neumann data (2015) (12)
- Minimizers for nonlocal perimeters of Minkowski type (2017) (12)
- Classification of stable solutions for boundary value problems with nonlinear boundary conditions on Riemannian manifolds with nonnegative Ricci curvature (2017) (11)
- A free boundary problem driven by the biharmonic operator (2018) (11)
- Symmetry results for stable and monotone solutions to fibered systems of PDEs (2012) (11)
- Local density of solutions of time and space fractional equations (2018) (10)
- Local density of Caputo-stationary functions of any order (2018) (10)
- Asymptotic Expansions of the Contact Angle in Nonlocal Capillarity Problems (2016) (10)
- Continuity and density results for a one-phase nonlocal free boundary problem (2015) (10)
- Nonlocal phase transitions in homogeneous and periodic media (2016) (9)
- A Brezis-Nirenberg type result for mixed local and nonlocal operators (2022) (9)
- Time-fractional equations with reaction terms: Fundamental solutions and asymptotics (2019) (9)
- Radial symmetry of solutions to anisotropic and weighted diffusion equations with discontinuous nonlinearities (2021) (9)
- A new discrete monotonicity formula with application to a two-phase free boundary problem in dimension two (2015) (8)
- Limit Behaviour of a Singular Perturbation Problem for the Biharmonic Operator (2019) (8)
- Unique continuation principles in cones under nonzero Neumann boundary conditions (2019) (8)
- A Serrin-type problem with partial knowledge of the domain (2020) (7)
- Elliptic partial differential equations from an elementary viewpoint (2021) (7)
- A Comparison Between the Nonlocal and the Classical Worlds: Minimal Surfaces, Phase Transitions, and Geometric Flows (2020) (7)
- Concentration of solutions for a singularly perturbed mixed problem in non-smooth domains (2012) (6)
- On the mean value property of fractional harmonic functions (2020) (6)
- Some monotonicity results for general systems of nonlinear elliptic PDEs (2015) (6)
- Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities (2019) (6)
- Symmetry results for the solutions of a partial differential equation arising in water waves (2019) (6)
- Long-range Phase Coexistence Models: Recent Progress on the Fractional Allen-Cahn Equation (2018) (5)
- On a fractional harmonic replacement (2014) (5)
- Symmetry and quantitative stability for the parallel surface fractional torsion problem (2021) (5)
- DISPERSIVE EFFECTS IN A PERIDYNAMIC MODEL (2021) (5)
- Heteroclinic connections for nonlocal equations (2017) (5)
- Nonlocal phase transitions: Rigidity results and anisotropic geometry (2016) (5)
- Efficiency functionals for the Lévy flight foraging hypothesis (2022) (5)
- A class of unstable free boundary problems (2015) (5)
- Minimisers of a fractional seminorm and nonlocal minimal surfaces (2020) (4)
- Global Gradient Estimates for a General Type of Nonlinear Parabolic Equations (2020) (4)
- A nonlinear free boundary problem with a self-driven Bernoulli condition (2016) (4)
- Qualitative Aspects in Nonlocal Dynamics (2021) (4)
- Concentration of solutions for a singularly perturbed Neumann problem in non-smooth domains (2010) (4)
- Contemporary Research in Elliptic PDEs and Related Topics (2019) (4)
- On a Minkowski geometric flow in the plane: Evolution of curves with lack of scale invariance (2017) (4)
- New Trends in Free Boundary Problems (2017) (4)
- Non)local and (non)linear free boundary problems (2017) (3)
- s, p-Harmonic Approximation of Functions of Least W s,l-Seminorm (2020) (3)
- Global gradient estimates for nonlinear parabolic operators (2020) (3)
- Enhanced boundary regularity of planar nonlocal minimal graphs, and a butterfly effect (2019) (3)
- Density Estimates for Degenerate Double-Well Potentials (2017) (3)
- Rigidity results in diffusion Markov triples (2018) (3)
- On divergent fractional Laplace equations (2019) (2)
- The role of antisymmetric functions in nonlocal equations (2022) (2)
- Dispersive effects in a scalar nonlocal wave equation inspired by peridynamics (2021) (2)
- Asymptotics of fractional perimeter functionals and related problems (2014) (2)
- The problem studied in this monograph (2017) (2)
- (Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property (2020) (2)
- Rigidity results for elliptic boundary value problems (2017) (2)
- Rigidity of critical points for a nonlocal Ohta–Kawasaki energy (2016) (2)
- (Non)local γ-convergence γ-convergenza (non)locale (2020) (2)
- Decay Estimates in Time for Classical and Anomalous Diffusion (2018) (2)
- On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results (2016) (1)
- DIFFUSIVE PROCESSES MODELED ON THE SPECTRAL FRACTIONAL LAPLACIAN WITH DIRICHLET AND NEUMANN BOUNDARY CONDITIONS (2022) (1)
- A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime (2017) (1)
- Some perspectives on (non)local phase transitions and minimal surfaces (2022) (1)
- A quantitative rigidity result for a two-dimensional Frenkel–Kontorova model (2021) (1)
- THE PHILLIP ISLAND PENGUIN PARADE (A MATHEMATICAL TREATMENT) (2016) (1)
- The stickiness property for antisymmetric nonlocal minimal graphs (2021) (1)
- Minimizers of the \begin{document}$ p $\end{document}-oscillation functional (2019) (1)
- Minimizing cones for fractional capillarity problems (2020) (1)
- Classification of global solutions of a free boundary problem in the plane (2022) (1)
- (Non)local $\Gamma$-convergence. (2020) (1)
- The fractional Malmheden theorem (2022) (1)
- On the Harnack inequality for antisymmetric s-harmonic functions (2022) (1)
- A fractional glance to the theory of edge dislocations (2021) (1)
- Fattening and nonfattening phenomena for planar nonlocal curvature flows (2018) (1)
- Minimizers of the p-oscillation functional (2018) (1)
- THE LÉVY FLIGHT FORAGING HYPOTHESIS IN BOUNDED REGIONS: SUBORDINATE BROWNIAN MOTIONS AND HIGH-RISK/HIGH-GAIN STRATEGIES (2022) (1)
- ANALYSIS OF THE L´EVY FLIGHT FORAGING HYPOTHESIS IN R n AND UNRELIABILITY OF THE MOST REWARDING STRATEGIES (2022) (1)
- Partial differential equations from theory to applications: Dedicated to Alberto Farina, on the occasion of his 50th birthday (2022) (0)
- Integral operators defined “up to a polynomial” (2022) (0)
- A P ] 2 1 Ja n 20 16 A LOGISTIC EQUATION WITH NONLOCAL INTERACTIONS (2016) (0)
- Nonlocal Minimal Graphs in the Plane are Generically Sticky (2020) (0)
- Regularity and positivity of the solution (2017) (0)
- Asymptotics of the nonlocal perimeter functionals (2013) (0)
- A Simple Mathematical Model Inspired by the Purkinje Cells: From Delayed Travelling Waves to Fractional Diffusion (2018) (0)
- Nonlocal phase transitions in homogeneous and periodic media (2016) (0)
- NONLOCAL DISLOCATION DYNAMICS IN CRYSTALS (2014) (0)
- Heteroclinic connections and Dirichlet problems for a nonlocal functional of oscillation type (2018) (0)
- Integral operators defined “up to a polynomial” (2022) (0)
- Singularity Formation in Fractional Burgers’ Equations (2020) (0)
- Minimizers for nonlocal perimeters of Minkowski type (2018) (0)
- Existence of a second solution and proof of Theorem 2.2.4 (2017) (0)
- Alessio Figalli's contributions to nonlocal minimal surfaces (2019) (0)
- Existence of a minimal solution and proof of Theorem 2.2.2 (2017) (0)
- Functional analytical setting (2017) (0)
- Boggio’s formula for fractional polyharmonic Dirichlet problems (2016) (0)
- A P ] 7 S ep 2 02 0 Global gradient estimates for nonlinear parabolic operators (2020) (0)
- Graph properties for nonlocal minimal surfaces (2016) (0)
- A P ] 3 O ct 2 01 5 NONLOCAL DELAUNAY SURFACES (2015) (0)
- Nonlocal capillarity for anisotropic kernels (2022) (0)
- Local Approximation of Arbitrary Functions by Solutions of Nonlocal Equations (2018) (0)
- Asymptotic Expansions of the Contact Angle in Nonlocal Capillarity Problems (2017) (0)
- Civil Wars: A New Lotka-Volterra Competitive System and Analysis of Winning Strategies (2020) (0)
- Chaotic Orbits for Systems of Nonlocal Equations (2016) (0)
- Planelike Interfaces in Long-Range Ising Models and Connections with Nonlocal Minimal Surfaces (2017) (0)
- Classification of irregular free boundary points for non-divergence type equations with discontinuous coefficients (2017) (0)
- Global Gradient Estimates for a General Type of Nonlinear Parabolic Equations (2022) (0)
- Decay estimates for evolutionary equations with fractional time-diffusion (2019) (0)
- Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential (2016) (0)
- Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting (2014) (0)
- Lipschitz regularity of almost minimizers in one-phase problems driven by the $p$-Laplace operator (2022) (0)
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