An extremum theory of the residual functional in Sobolev spaces \(W^{m,p}({\Omega{}})\)

DOI10.1007/BF02457373zbMath0767.46030OpenAlexW2953625234MaRDI QIDQ1200095

Yongyong Ling

Publication date: 17 January 1993

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02457373

zbMATH Keywords

Sobolev spaceconvexitypartial differential equationlinear differential operatorsweak compactnessquasilinearboundary valuelower semi-continuityforce conditionresidual functionalproperly posed problemminimum existence theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Nonlinear higher-order PDEs (35G20)

Cites Work

• Analytic Inequalities

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