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A non-local Monge-Ampère equation

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Publication:303520
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DOI10.4310/CAG.2016.v24.n2.a4zbMath1361.35067arXiv1410.0268OpenAlexW2964058331MaRDI QIDQ303520

Luis A. Caffarelli, Luis Silvestre

Publication date: 22 August 2016

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.0268


zbMATH Keywords

fractional LaplacianMonge-Ampère operator


Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Monge-Ampère equations (35J96)


Related Items (7)

On a fractional Monge-Ampère operator ⋮ Monotonicity of solutions for a class of nonlocal Monge-Ampère problem ⋮ Harnack inequality for the fractional nonlocal linearized Monge-Ampère equation ⋮ Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications ⋮ Monotonicity of solutions for parabolic equations involving nonlocal Monge-Ampère operator ⋮ On a family of fully nonlinear integrodifferential operators: from fractional Laplacian to nonlocal Monge-Ampère ⋮ Min-max formulas for nonlocal elliptic operators on Euclidean space




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