Concavity principles for nonautonomous elliptic equations and applications

DOI10.3233/asy-231863zbMath1529.35215arXiv2307.05822OpenAlexW4386368977MaRDI QIDQ6071971

Unnamed Author, Claudia Bucur, Unnamed Author, Marco Squassina

Publication date: 29 November 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.05822

zbMATH Keywords

almost concavity resultsanisotropic semilinear elliptic problems

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61)

Cites Work

• On nonlinear Rayleigh quotients
• Sufficient conditions for the convexity of the level sets of ground-state solutions
• Rearrangements and convexity of level sets in PDE
• Symmetry and related properties via the maximum principle
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Capacitary functions in convex rings
• Uniqueness of least energy solutions to a semilinear elliptic equation in \(\mathbb{R}^ 2\)
• Optimal concavity of the torsion function
• Approximate convexity principles and applications to PDEs in convex domains
• When are solutions to nonlinear elliptic boundary value problems convex?
• Two geometrical properties of solutions of semilinear problems
• Elliptic Partial Differential Equations of Second Order
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Approximately Convex Functions
• Concavity properties for solutions to \(p\)-Laplace equations with concave nonlinearities
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