Symmetry of solutions for a class of nonlocal Monge–Ampère equations
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DOI: 10.1080/17476933.2020.1816986
Abstract: In this paper, we consider equations involving a class of nonlocal Monge–Ampere operators. We first establish some maximum principles, such as a narrow region principle and a decay at infinity. The... read more here.
Keywords: class nonlocal; equations symmetry; symmetry solutions; nonlocal monge ... See more keywords
Monotonicity, Gibbons' conjecture and Liouville theorem for the nonlocal Monge-Ampere problem with the Marchaud time derivative
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DOI: 10.1142/s021953052650020x
Abstract: In this paper, we primarily establish maximum principles for the nonlocal Monge-Ampère problem with the Marchaud time derivative, and apply these principles to study the monotonicity, Gibbons’ conjecture and Liouville theorem for a class of… read more here.
Keywords: liouville theorem; gibbons conjecture; time; time derivative ... See more keywords
Monotonicity of solutions for a class of nonlocal Monge-Ampère problem
Sign Up to like & getrecommendations! Published in 2020 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2020237
Abstract: In this paper, we consider nonlinear problems involving nonlocal Monge-Ampere operators. By using a sliding method, we establish monotonicity of positive solutions for nonlocal Monge-Ampere problems both in an infinite slab and in an upper… read more here.
Keywords: nonlocal monge; solutions class; monge; monge ampere ... See more keywords