Remarks on the Green's function of the linearized Monge-Ampère operator
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Publication:2634726
DOI10.1007/s00229-015-0766-2zbMath1341.35023arXiv1506.01699OpenAlexW1567456312MaRDI QIDQ2634726
Publication date: 18 February 2016
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.01699
Degenerate elliptic equations (35J70) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Singular elliptic equations (35J75) Green's functions for elliptic equations (35J08) Monge-Ampère equations (35J96)
Related Items (6)
Hölder regularity of the 2D dual semigeostrophic equations via analysis of linearized Monge-Ampère equations ⋮ Harnack inequality for the fractional nonlocal linearized Monge-Ampère equation ⋮ Global \(W^{1,p}\) estimates for solutions to the linearized Monge-Ampère equations ⋮ \(W^{1,p}_{\varphi}\)-estimates for Green's functions of the linearized Monge-Ampère operator ⋮ Global Hölder estimates for 2D linearized Monge-Ampère equations with right-hand side in divergence form ⋮ Boundary Harnack inequality for the linearized Monge-Ampère equations and applications
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- The Monge-Ampère quasi-metric structure admits a Sobolev inequality
- Properties of the solutions of the linearized Monge-Ampere equation
- The Monge-Ampère equation
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