Starshapedness of Level Sets for the Obstacle Problem and for the Capacitory Potential Problem

DOI10.2307/2044597zbMath0556.35051OpenAlexW4234211082MaRDI QIDQ3220982

Bernhard Kawohl

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2044597

zbMATH Keywords

maximum principlesobstaclestarshapedcapacitory potential

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items

Starshapedness in the obstacle problem, Starshaped sets, Non-newtonian Hele-Shaw flows in n ⩾2 dimensions, On Starshaped Rearrangement and Applications, Starshapedeness for fully non‐linear equations in Carnot groups, Unnamed Item, On the convexity of geometric functionals of level for solutions of certain elliptic partial differential equations

Cites Work

• Brownian motion in a convex ring and quasi-concavity
• Elliptic Partial Differential Equations of Second Order
• Variational inequalities and free boundary problems
• Convexity properties of solutions to some classical variational problems
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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