One-sided estimates for the curvature of the free boundary in the obstacle problem

DOI10.1016/S0001-8708(77)80005-4zbMath0354.35075OpenAlexW2002434625MaRDI QIDQ1236725

David G. Schaeffer

Publication date: 1977

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0001-8708(77)80005-4

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Partial differential equations of mathematical physics and other areas of application (35Q99) Variational methods for second-order elliptic equations (35J20) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (8)

Generalized implicit function theorems and problems with a free boundary ⋮ Dima Khavinson's 60th: a summary of open problems in analysis and mathematical physics ⋮ On the number of singularities for the obstacle problem in two dimensions ⋮ A perturbation study of the obstacle problem by means of a generalized implicit function theorem ⋮ On the curvature of some free boundaries in higher dimensions ⋮ Free boundary problems for the laplace equation: A priori estimates, existence theorems, asymptotic behaviours ⋮ A perturbation study of a jet-like annular free boundary problem and an application to an optimal control problem ⋮ Convexity estimates for nonlinear elliptic equations and application to free boundary problems

Cites Work

• On the regularity of the solution of a variational inequality
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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