Convexity of level sets for elliptic problems in convex domains or convex rings: Two counterexamples

From MaRDI portal
Publication:2804444

DOI10.1353/ajm.2016.0012zbMath1341.35064arXiv1304.3355OpenAlexW2952296839WikidataQ125026518 ScholiaQ125026518MaRDI QIDQ2804444

François Hamel, Yannick Sire, Nikolai S. Nadirashvili

Publication date: 29 April 2016

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3355




Related Items (22)

On the number of critical points of solutions of semilinear equations in ℝ2On concavity of solutions of the nonlinear Poisson equationPower concavity for elliptic and parabolic boundary value problems on rotationally symmetric domainsOptimal trapping for Brownian motion: a nonlinear analogue of the torsion functionGaussian curvature estimates for the convex level sets of minimal graphs revisitedOn stationary solutions of two-dimensional Euler equationQuasiconvexity preserving property for fully nonlinear nonlocal parabolic equationsConcavity of solutions to semilinear equations in dimension twoTopological bounds for Fourier coefficients and applications to torsionConcavity properties for solutions to \(p\)-Laplace equations with concave nonlinearitiesPower convexity of solutions to a special Lagrangian equation in dimension twoGeometric properties of superlevel sets of semilinear elliptic equations in convex domainsThe concavity region of solutions to the Poisson equation in the planeExercises on the theme of continuous symmetrizationThe spectral gap to torsion problem for some non-convex domainsStrong space-time convexity and the heat equationConvexity of level sets and a two-point functionSuperharmonicity of curvature function for the convex level sets of harmonic functionsOn the number of critical points of solutions of semilinear elliptic equationsA Morse lemma for degenerate critical points of solutions of nonlinear equations in \(\mathbb{R}^2\)A convexity problem for a semi-linear PDECritical points of solutions for the mean curvature equation in strictly convex and nonconvex domains




This page was built for publication: Convexity of level sets for elliptic problems in convex domains or convex rings: Two counterexamples