Variational formulation of higher order elliptic boundary value problems

DOI10.1017/S0004972700026198zbMath0525.35032MaRDI QIDQ3039787

Alan J. Pryde

Publication date: 1983

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

zbMATH Keywords

Sobolev spaceexistenceuniquenessRiemannian manifoldvariational formulationsesquilinear forms

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) A priori estimates in context of PDEs (35B45)

Cites Work

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• Second-order properly elliptic boundary value problems on irregular plane domains
• On coerciveness and semiboundedness of general boundary problems
• The coerciveness problem for integro-differential forms
• Another approach to elliptic boundary problems
• The Five Lemma for Banach Spaces
• General boundary value problems for elliptic partial differential equations