Convex solutions of Monge-Ampère equations and systems: Existence, uniqueness and asymptotic behavior

Symmetry breaking via Morse index for equations and systems of Hénon–Schrödinger type

(2019) Zhenluo Lou et al.   ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK

New results of coupled system of k-Hessian equations

(2019) Meiqiang Feng   APPLIED MATHEMATICS LETTERS

Analysis of positive radial solutions for singular superlinear p-Laplacian systems on the exterior of a ball

(2019) Byungjae Son et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Sharp conditions for the existence of boundary blow-up solutions to the Monge–Ampère equation

(2018) Xuemei Zhang et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Existence and nonexistence to exterior Dirichlet problem for Monge–Ampère equation

(2018) YanYan Li et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Existence and multiplicity of positive radial solutions for singular superlinear elliptic systems in the exterior of a ball

(2018) D.D. Hai et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Quasilinear elliptic systems in divergence form associated to general nonlinearities

(2018) Lorenzo D’Ambrosio et al.   Advances in Nonlinear Analysis

Uniqueness of positive radial solutions for infinite semipositone p-Laplacian problems in exterior domains

(2018) K.D. Chu et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Global smoothness for a singular Monge–Ampère equation

(2017) Huaiyu Jian et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

A priori bounds and existence of positive solutions for semilinear elliptic systems

(2017) N. Mavinga et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A uniqueness result for a semipositone p -Laplacian problem on the exterior of a ball

(2017) R. Shivaji et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Boundary behavior of large solutions for semilinear elliptic equations with weights

(2016) Zhijun Zhang   ASYMPTOTIC ANALYSIS

Entire solutions of quasilinear elliptic systems on Carnot groups

(2014) Lorenzo D’Ambrosio et al.   Proceedings of the Steklov Institute of Mathematics

Hamiltonian elliptic systems: a guide to variational frameworks

(2014) Denis Bonheure et al.   Portugaliae Mathematica

On the blow-up boundary solutions of the Monge -Ampére equation with singular weights

(2012) Yibin Chang et al.   COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

W 2,1 regularity for solutions of the Monge–Ampère equation

(2012) Guido De Philippis et al.   INVENTIONES MATHEMATICAE

Uniqueness of nonnegative solutions for semipositone problems on exterior domains

(2012) Alfonso Castro et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Triple nontrivial radial convex solutions of systems of Monge–Ampère equations

(2011) Fanglei Wang et al.   APPLIED MATHEMATICS LETTERS

Existence and multiplicity of solutions for asymptotically linear noncooperative elliptic systems

(2010) Xiao-Feng Ke et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Boundary regularity for the Monge–Ampère and affine maximal surface equations

(2009) Neil Trudinger et al.   ANNALS OF MATHEMATICS

C 1 regularity of solutions of the Monge–Ampère equation for optimal transport in dimension two

(2009) Alessio Figalli et al.   CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS

Existence and non-existence of solutions for a class of Monge–Ampère equations

(2009) Zhitao Zhang et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Bifurcation for strongly indefinite functional and applications to Hamiltonian system and noncooperative elliptic system

(2009) Yuxia Guo et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

On boundary blow-up problems for the complex Monge-Ampère equation

(2008) Szymon Pliś   PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY