Counterexample to the convexity of level sets of solutions to the mean curvature equation
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Publication:2510743
DOI10.4171/JEMS/457zbMath1305.35062WikidataQ124883452 ScholiaQ124883452MaRDI QIDQ2510743
Publication date: 4 August 2014
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with mean curvature operator (35J93)
Related Items (8)
On a constant rank theorem for nonlinear elliptic PDEs ⋮ Gaussian curvature estimates for the convex level sets of minimal graphs revisited ⋮ Power convexity of solutions to a special Lagrangian equation in dimension two ⋮ Strong space-time convexity and the heat equation ⋮ Convexity of level sets and a two-point function ⋮ Weak Harnack inequalities for eigenvalues and constant rank theorems ⋮ Minimum principles and a priori estimates for some translating soliton type problems ⋮ Superharmonicity of curvature function for the convex level sets of harmonic functions
Cites Work
- Unnamed Item
- Concavity, quasiconcavity, and quasilinear elliptic equations
- The convexity of solution of a class Hessian equation in bounded convex domain in \(\mathbb R^3\)
- A constant rank theorem for level sets of immersed hypersurfaces in \(\mathbb R^{n+1}\) with prescribed mean curvature
- Rearrangements and convexity of level sets in PDE
- Convexity of solutions of semilinear elliptic equations
- Convexity of capillary surfaces in the outer space
- Capacitary functions in convex rings
- Negatively curved sets on surfaces of constant mean curvature in \(\mathbb{R}^3\) are large
- Continua of \(H\)-graphs: Convexity and isoperimetric stability
- A Result Concerning Convex Level Surfaces of 3-Dimensional Harmonic Functions
- Quasiconcave solutions to elliptic problems in convex rings
- Gaussian curvature estimates for the convex level sets of p-harmonic functions
- Convexity properties of solutions to some classical variational problems
- Conexity Of Level Sets For Solutions To elliptic Ring Problems
- On minimal surfaces bounded by two convex curves in parallel planes
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