Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations
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Publication:2842805
DOI10.1515/crelle.2012.038zbMath1282.35167arXiv1004.1187OpenAlexW2964235491MaRDI QIDQ2842805
Publication date: 16 August 2013
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.1187
Related Items (13)
Curvature estimates for the level sets of solutions to a class of Monge-Ampère equations ⋮ On the microscopic spacetime convexity principle for fully nonlinear parabolic equations II: Spacetime quasiconcave solutions ⋮ Some geometrical properties of convex level sets of minimal graph on 2-dimensional Riemannian manifolds ⋮ Power convexity of solutions to a special Lagrangian equation in dimension two ⋮ On convexity of level sets of \(p\)-harmonic functions ⋮ Weak Harnack inequalities for eigenvalues and a constant rank theorem for level sets ⋮ On Space-Time Quasiconcave Solutions of the Heat Equation ⋮ Curvature estimates for the level sets of solutions to the Monge-Ampère equation \(\mathrm{det}D^{2}u = 1\) ⋮ Curvature estimates for the level sets of spatial quasiconcave solutions to a class of parabolic equations ⋮ Strong space-time convexity and the heat equation ⋮ Convexity of level sets of minimal graph on space form with nonnegative curvature ⋮ The concavity of the Gaussian curvature of the convex level sets of \(p\)-harmonic functions with respect to the height ⋮ A quantitative constant rank theorem for quasiconcave solutions to fully nonlinear elliptic equations
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