Symmetry of minimizers with a level surface parallel to the boundary
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Publication:894193
DOI10.4171/JEMS/571zbMath1335.49059arXiv1203.5295OpenAlexW2963136210MaRDI QIDQ894193
Rolando Magnanini, Giulio Ciraolo, Shigeru Sakaguchi
Publication date: 27 November 2015
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.5295
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Regularity of solutions in optimal control (49N60) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (16)
Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration ⋮ Symmetry and quantitative stability for the parallel surface fractional torsion problem ⋮ Optimal concavity of the torsion function ⋮ Small diffusion and short-time asymptotics for Pucci operators ⋮ Short-time behavior for game-theoretic \(p\)-caloric functions ⋮ When does the heat equation have a solution with a sequence of similar level sets? ⋮ Quantitative results for fractional overdetermined problems in exterior and annular sets ⋮ A weak comparison principle for solutions of very degenerate elliptic equations ⋮ Wulff shape characterizations in overdetermined anisotropic elliptic problems ⋮ Riemannian aspects of potential theory ⋮ Radial symmetry for an elliptic PDE with a free boundary ⋮ Quantitative estimates for almost constant mean curvature hypersurfaces ⋮ Serrin's type overdetermined problems in convex cones ⋮ Asymptotics for the resolvent equation associated to the game-theoretic p-laplacian ⋮ A Viscosity Equation for Minimizers of a Class of Very Degenerate Elliptic Functionals ⋮ A characterization of balls through optimal concavity for potential functions
Cites Work
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- Solutions of elliptic equations with a level surface parallel to the boundary: stability of the radial configuration
- A weak comparison principle for solutions of very degenerate elliptic equations
- Global \(L^{\infty }\) gradient estimates for solutions to a certain degenerate elliptic equation
- The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
- Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations
- Symmetry and related properties via the maximum principle
- Some estimates of the minimizing properties of web functions
- Existence of minima for nonconvex functionals in spaces of functions depending on the distance from the boundary
- Some remarks on singular solutions of nonlinear elliptic equations. I
- On the Dirichlet problem for non-totally degenerate fully nonlinear elliptic equations
- Overdetermined problems with possibly degenerate ellipticity, a geometric approach
- EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*
- User’s guide to viscosity solutions of second order partial differential equations
- Elliptic Partial Differential Equations of Second Order
- Local Stress Regularity in Scalar Nonconvex Variational Problems
- Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators
- Comparison Principle for Viscosity Solutions of Fully Nonlinear, Degenerate Elliptic Equations
- Congested traffic dynamics, weak flows and very degenerate elliptic equations
- A symmetry problem in the calculus of variations
- Existence, uniqueness and qualitative properties of minima to radially symmetric non-coercive non-convex variational problems
- Critical points of solutions of degenerate elliptic equations in the plane
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