Starshapedness in the obstacle problem

DOI10.1007/S13226-013-0021-ZzbMath1307.35122OpenAlexW1998969553MaRDI QIDQ358972

Jun Zheng, Pei-Hao Zhao, Zhi-Hua Zhang

Publication date: 9 August 2013

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-013-0021-z

zbMATH Keywords

obstacle problemcoincidence setstarshapedness

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Cites Work

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• Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
• Stability remarks to the obstacle problem for \(p\)-Laplacian type equations
• The coincidence set of solutions of certain variational inequalities
• Starshapedness of Level Sets for the Obstacle Problem and for the Capacitory Potential Problem
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Hölder continuity of the gradient for degenerate variational inequalities
• On the Obstacle Problem for Quasilinear Elliptic Equations of p Laplacian Type
• Convexity properties of solutions to some classical variational problems
• On the regularity of the solution of a variational inequality

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