Morrey inequalities in the Monge-Ampère quasi-metric structure
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124707
Abstract: Abstract Morrey-type inequalities within the Monge-Ampere quasi-metric structure are proved under various conditions on the underlying Monge-Ampere measure. A number of examples of convex functions satisfying the required assumptions are described. Applications include interior C… read more here.
Keywords: metric structure; monge ampere; inequalities monge; quasi metric ... 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