A perturbation study of the obstacle problem by means of a generalized implicit function theorem

DOI10.1007/BF01811729zbMath0472.35081MaRDI QIDQ1157720

Alain Dervieux

Publication date: 1981

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

optimal controlperturbationfree boundary probleminverse problemsobstacle problemNash-Moser implicit function theoremgeometrical domain

Mathematics Subject Classification ID

Variational inequalities (49J40) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

Generalized implicit function theorems and problems with a free boundary ⋮ Shape optimization approach to numerical solution of the obstacle problem

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