The Dirichlet Problem for Euler-Lagrange Equations on Arbitrary Domains

DOI10.1112/JLMS/S2-19.3.481zbMath0458.35037OpenAlexW2045077316MaRDI QIDQ3907907

William P. Ziemer

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-19.3.481

zbMATH Keywords

maximum principleDirichlet problemvariational problemcapacityEuler-Lagrange equationregularity result

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20) Euler-Poisson-Darboux equations (35Q05)

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