The Lavrentiev Phenomenon and the Obstacle Problem for the Dirichlet Integral

DOI10.2307/2161275zbMath0832.49006OpenAlexW4230779425MaRDI QIDQ4845980

Tero Kilpeläinen, Peter Lindqvist

Publication date: 7 September 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2161275

zbMATH Keywords

obstacle problemDirichlet integralLavrentiev phenomenon

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Theoretical approximation in context of PDEs (35A35) Connections of harmonic functions with differential equations in higher dimensions (31B35)

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