Concavity of solutions to degenerate elliptic equations on the sphere

DOI10.1080/03605302.2020.1857404zbMath1473.35277arXiv2001.03266OpenAlexW3000232068MaRDI QIDQ5005088

Mat Langford, Julian Scheuer

Publication date: 4 August 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03266

zbMATH Keywords

degenerate elliptic equationsfully nonlinear PDEconcavity of solutionsconvex domains on the sphere

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45)

Related Items (1)

Power convexity of solutions to a special Lagrangian equation in dimension two

Cites Work

• Concavity maximum principle for viscosity solutions of singular equations
• Rearrangements and convexity of level sets in PDE
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Convex viscosity solutions and state constraints
• Sharp fundamental gap estimate on convex domains of sphere
• Proof of the fundamental gap conjecture
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