Neil Trudinger | Academic Influence

Neil Trudinger's AcademicInfluence.com Rankings

Neil Trudinger

Mathematics

#608

World Rank

#1139

Historical Rank

Measure Theory

#345

World Rank

#518

Historical Rank

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Mathematics

Neil Trudinger's Degrees

PhD Mathematics Australian National University

Why Is Neil Trudinger Influential?

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According to Wikipedia, Neil Sidney Trudinger is an Australian mathematician, known particularly for his work in the field of nonlinear elliptic partial differential equations. After completing his B.Sc at the University of New England in 1962, he continued his graduate studies at Stanford University. He was awarded a Ph.D in 1966 for his thesis "Quasilinear Elliptical Partial Differential Equations in n Variables". After the award of his doctorate from Stanford University, Trudinger became a Courant Instructor at the Courant Institute of Mathematical Sciences of New York University during the academic year 1966–67. He then returned to Australia where he was appointed as a lecturer at Macquarie University in 1967. In 1970, he moved to University of Queensland where he was first appointed as a Reader, then as Professor. In 1973 he moved to the Australian National University. In 2016 he moved to the University of Wollongong, where he is currently appointed as a Distinguished Professor.

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Neil Trudinger'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

Elliptic Partial Differential Equa-tions of Second Order (1977) (9884)
On Imbeddings into Orlicz Spaces and Some Applications (1967) (954)
Remarks concerning the conformal deformation of riemannian structures on compact manifolds (1968) (734)
On harnack type inequalities and their application to quasilinear elliptic equations (1967) (733)
Regularity of Potential Functions of the Optimal Transportation Problem (2005) (376)
On the Dirichlet problem for Hessian equations (1995) (304)
Orlicz-Sobolev spaces and imbedding theorems (1971) (284)
Linear elliptic operators with measurable coe cients (1973) (281)
Pointwise estimates and quasilinear parabolic equations (1968) (239)
The Monge-Ampµere equation and its geometric applications (2008) (211)
On the weak continuity of elliptic operators and applications to potential theory (2002) (209)
Hessian measures II (1999) (201)
The Dirichlet problem for the prescribed curvature equations (1990) (198)
On the second boundary value problem for Monge-Ampère type equations and optimal transportation (2006) (190)
Hessian measures I (1997) (182)
Nonlinear oblique boundary value problems for nonlinear elliptic equations (1986) (179)
The Bernstein problem for affine maximal hypersurfaces (2000) (174)
The Yamabe problem for higher order curvatures (2005) (147)
Boundary regularity for the Monge-Ampere and affine maximal surface equations (2005) (145)
On the Monge mass transfer problem (2001) (133)
Fully nonlinear, uniformly elliptic equations under natural structure conditions (1983) (132)
On some inequalities for elementary symmetric functions (1994) (119)
Harnack inequalities for quasi-minima of variational integrals (1984) (117)
Local estimates for subsolutions and supersolutions of general second order elliptic quasilinear equations (1980) (116)
THE Neumann problem for equations of Monge-Ampère type (1986) (113)
The affine Plateau problem (2004) (104)
Comparison Principles and Pointwise Estimates for Viscosity Solutions of Nonlinear Elliptic Equations (1988) (95)
On the regularity of generalized solutions of linear, non-uniformly elliptic equations (1971) (90)
Hessian Measures III (2002) (87)
On Strict Convexity and Continuous Differentiability of Potential Functions in Optimal Transportation (2009) (86)
Isoperimetric inequalities for quermassintegrals (1994) (86)
On the dirichlet problem for degenerate Monge-Ampère equations (1999) (81)
The Dirichlet Problem for Degenerate Hessian Equations (2005) (80)
On new isoperimetric inequalities and symmetrization. (1997) (79)
Interior C 2,α Regularity for Potential Functions in Optimal Transportation (2009) (76)
Hölder gradient estimates for fully nonlinear elliptic equations (1988) (73)
Discrete methods for fully nonlinear elliptic equations (1992) (68)
On the sharpness of a limiting case of the Sobolev imbedding theorem (1970) (66)
Affine complete locally convex hypersurfaces (2002) (65)
On Regularity and Existence of Viscosity Solutions of Nonlinear Second Order, Elliptic Equations (1989) (63)
Recent developments in elliptic partial differential equations of Monge-Ampere type (2006) (63)
The Dirichlet problem for the equation of prescribed Gauss curvature (1983) (61)
On the local theory of prescribed Jacobian equations (2012) (60)
Quasilinear second order elliptic equations with Venttsel boundary conditions (1991) (57)
Linear oblique derivative problems for the uniformly elliptic Hamilton-Jacobi-Bellman equation (1986) (52)
A strong convergence theorem for contraction semigroups in Banach (2008) (51)
Linear elliptic difference inequalities with random coefficients (1990) (50)
On Harnack inequalities and singularities of admissible metrics in the Yamabe problem (2005) (49)
Maximum principles for linear, non-uniformly elliptic operators with measurable coefficients (1977) (49)
On second derivative estimates for equations of Monge-Ampère type (1984) (48)
On locally convex hypersurfaces with boundary (2002) (46)
On degenerate fully nonlinear elliptic equations in balls (1987) (45)
An imbedding theorem for H°(G,Ω)-spaces (1974) (45)
Oblique boundary value problems for augmented Hessian equations I (2015) (43)
A Poincaré type inequality for Hessian integrals (1998) (43)
Gradient estimates and mean curvature (1973) (41)
On the Dirichlet problem for Monge-Ampère type equations (2013) (39)
The intermediate case of the Yamabe problem for higher order curvatures (2009) (38)
A new proof of the interior gradient bound for the minimal surface equation in N dimensions. (1972) (38)
On Pogorelov estimates in optimal transportation and geometric optics (2014) (36)
Positive difference operators on general meshes (1996) (34)
The Dirichlet problem for the prescribed curvature quotient equations (1994) (34)
Quasilinear elliptic equations with signed measure data (2008) (33)
Review: O. A. Ladyženskaja and N. N. Ural′ceva, Linear and quasilinear elliptic equations (1969) (31)
On the twice differentiability of viscosity solutions of nonlinear elliptic equations (1989) (31)
On Pogorelov estimates for Monge-Ampère type equations (2010) (30)
A Form of Alexandrov-Fenchel Inequality (2010) (27)
Lectures on nonlinear elliptic equations of second order (1995) (26)
On the comparison principle for quasilinear divergence structure equations (1974) (26)
Harnack inequalities for nonuniformly elliptic divergence structure equations (1981) (26)
On the Dirichlet problem for a class of augmented Hessian equations (2014) (24)
A new approach to the Schauder estimates for linear elliptic equations (1986) (24)
Convex Hypersurfaces of prescribed Weingarten curvatures (2004) (23)
A note on the discrete Aleksandrov-Bakelman maximum principle (2000) (22)
A priori bounds and necessary conditions for solvability of prescribed curvature equations (1990) (21)
On the Second Boundary Value Problem for Monge–Ampère Type Equations and Geometric Optics (2017) (21)
Elliptic equations in non-divergence form (1982) (20)
Evolving monotone difference operators on general space-time meshes (1998) (19)
On the discrete maximum principle for parabolic difference operators (1993) (19)
New maximum principles for linear elliptic equations (2006) (19)
Fully Nonlinear Equations (2001) (18)
Boundary value problems for fully nonlinear elliptic equations (1984) (18)
On the Dirichlet problem for general augmented Hessian equations (2019) (17)
Laplace’s Equation (1977) (15)
On the Neumann Problem for Monge-Ampére Type Equations (2015) (14)
On an interpolation inequality and its applications to nonlinear elliptic equations (1985) (13)
On Asymptotic Behaviour and W2, p Regularity of Potentials in Optimal Transportation (2015) (13)
On the classical solvability of near field reflector problems (2015) (13)
A Priori Bounds for Graphs With Prescribed Curvature (1990) (12)
On the positivity of weak supersolutions of non-uniformly elliptic equations (1978) (11)
Lipschitz continuous solutions of elliptic equations of the form $$A$$ (Du)D2u=0 (1969) (11)
Bernstein-Jorgens Theorem for a Fourth Order Partial Differential Equation (2002) (11)
The k-Yamabe problem (2012) (10)
Local Estimates for Parabolic Difference Operators (1995) (10)
On the Dirichlet problem for quasilinear uniformly elliptic equations in n variables (1967) (10)
From Optimal Transportation to Conformal Geometry (2020) (10)
On Hessian Measures for Non-Commuting Vector Fields (2005) (9)
On the local theory of prescribed Jacobian equations revisited (2021) (9)
On the analyticity of generalized minimal surfaces (1971) (9)
Enclosed convex hypersurfaces with maximal affine area (2006) (9)
Generation of diagonal acts of some semigroups of transformations and relations (2008) (8)
A note on global regularity in optimal transportion (2013) (8)
Prescribed Weingarten Curvature Equations (2012) (8)
Weak formulation of the MTW condition and convexity properties of potentials (2020) (8)
Generalized solutions of quasilinear, differential inequalities. I. Elliptic operators (1971) (7)
Hessian measures on the Heisenberg group (2013) (7)
The Classical Maximum Principle (1977) (6)
The Chern Conjecture in Affine geometry (2004) (6)
Subalgebras of free restricted Lie algebras (2006) (5)
Classical boundary value problems for Monge-Ampère type equations (1986) (5)
Glimpses of nonlinear partial differential equations in the Twentieth century. A Priori estimates and the Bernstein problem (2001) (5)
Schauder estimates for fully nonlinear elliptic difference operators (2002) (5)
Regularity in optimal transportation (2009) (5)
On 3-class groups of certain pure cubic fields (2008) (5)
An Alexsandrov type theorem for k-convex functions (2005) (5)
The Dirichlet problem for nonuniformly elliptic equations (1967) (4)
The mean curvature measure (2009) (4)
Existence of positive solutions for nonlocal and nonvariational elliptic systems (2008) (4)
Estimates for Solutions of Fully Nonlinear Discrete Schemes (2005) (3)
On generated prescribed Jacobian equations (2011) (3)
On the Ky Fan inequality and related inequalities II (2008) (3)
On the convexity theory of generating functions (2021) (3)
Preface [to] Journal of Global Optimization Vol. 40 (2008) (2008) (3)
Maximum principles for curvature quotient equations (1994) (3)
On the first eigenvalue of non-uniformly elliptic boundary value problems (1980) (3)
Weak Continuity of the Complex k-Hessian Operators With Respect To Local Uniform Convergence (2014) (2)
Remarks on the Pucci conjecture (2020) (2)
Miniconference on Geometry and Partial Differential Equations (Canberra, August 1-3, 1985) (1986) (2)
Some results on Hessian measures for non-commuting vector fields(Viscosity Solution Theory of Differential Equations and its Developments) (2006) (2)
Maximum Principles for Difference Operators (2017) (2)
A note on Alxesandrov type theorem for k-convex functions (2004) (1)
On the maximum principle for linear parabolic equations (2008) (1)
A sharp inequality for subharmonic functions on two-dimensional manifolds (1973) (1)
On the affine diameter of closed convex hypersurfaces (2003) (1)
Bifurcation of positive entire solutions for a semilinear elliptic equation (2008) (1)
Miniconference on Partial Differential Equations (Canberra, July 9-10, 1981) (1982) (1)
FOR A FOURTH ORDER PARTIAL DIFFERENTIAL EQUATION (2002) (1)
Neumann problem for Monge-Ampere type equations revisited. (2021) (1)
Fully Nonlinear PDEs in Geometry (2004) (1)
On the Krylov maximum principle for discrete parabolic schemes (2009) (1)
Maximum and Comparison Principles (1977) (1)
Equations of Mean Curvature Type (1977) (1)
A P ] 1 0 Ju l 2 00 6 NEW MAXIMUM PRINCIPLES FOR LINEAR ELLIPTIC EQUATIONS (2018) (0)
Classical Solutions; the Schauder Approach (1977) (0)
Flat Laguerre planes of Kleinewillinghöfer type E obtained by cut and paste (2008) (0)
A characteristic subgroup and kernels of Brauer characters (2008) (0)
On the Second Boundary Value Problem for Monge–Ampère Type Equations and Geometric Optics (2018) (0)
Finite presentability of some metabelian Hopf algebras (2008) (0)
Banach and Hilbert Spaces (1977) (0)
Boundary Gradient Estimates (1977) (0)
Preface (2008) (0)
Global and Interior Gradient Bounds (1977) (0)
0 50 54 63 v 1 2 3 M ay 2 00 5 THE YAMABE PROBLEM FOR HIGHER ORDER CURVATURES (2005) (0)
PRM volume 108 issue 3-4 Cover and Front matter (1988) (0)
Joint Australia-China meeting on Non-linear Partial Differential Equations (2007) (0)
Dedicated to Professor Fon-Che Liu on his sixtieth birthday (2000) (0)
Topological Fixed Point Theorems and Their Application (1977) (0)
PRM volume 110 issue 3-4 Cover and Front matter (1988) (0)
Recent developments in the theory of nonlinear elliptic partial differential equations (2007) (0)
Similarity invariant semigroups generated by non-Fredholm operators (2008) (0)
Poisson’s Equation and the Newtonian Potential (1977) (0)
Linear geometries on the Moebius strip: a theorem of Skornyakov type (2008) (0)
A note on second derivative estimates for Monge-Ampère-type equations (2022) (0)
PRM volume 112 issue 1-2 Cover and Front matter (1989) (0)
On the smoothness of the potential function in Riemannian optimal transport∗ (2015) (0)
Ascending HNN-extensions and properly 3-realisable groups (2008) (0)
Generalized Solutions and Regularity (1977) (0)
Hölder Estimates for the Gradient (2001) (0)
A strong excision theorem for generalised Tate cohomology (2008) (0)
On the Dirichlet problem for Monge-Ampère type equations (2013) (0)
Equations in Two Variables (1977) (0)

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