Gaussian curvature estimates for the convex level sets of p-harmonic functions
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Publication:3565148
DOI10.1002/cpa.20318zbMath1193.35031OpenAlexW2003725814MaRDI QIDQ3565148
Xi-Nan Ma, Qianzhong Ou, Wei Zhang
Publication date: 2 June 2010
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.20318
Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) A priori estimates in context of PDEs (35B45) Geometric theory, characteristics, transformations in context of PDEs (35A30) Higher-order elliptic equations (35J30)
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Cites Work
- On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes
- Rearrangements and convexity of level sets in PDE
- A maximum principle for sums of subharmonic functions, and the convexity of level sets
- Capacitary functions in convex rings
- On the Hessian matrix and Minkowski addition of quasiconvex functions
- Curvature estimates in dimensions 2 and 3 for the level sets of $p$-harmonic functions in convex rings
- A Result Concerning Convex Level Surfaces of 3-Dimensional Harmonic Functions
- Quasiconcave solutions to elliptic problems in convex rings
- 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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