Direct methods in the calculus of variations
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Publication:5920405
zbMath1140.49001MaRDI QIDQ5920405
Publication date: 15 January 2008
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
existence theoremsquasiconvexitylower semicontinuityquasiconvex functioncalculus of variationsdirect methodspolyconvexitysingular valuequasiconvex envelopeextension of Lipschitz functionsscalar caserank one convexityrelaxation theoremsimplicit first-order PDEquasiconvex setunderdetermined first-order PDEvectorial case
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions of several variables, generalizations (26B25) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Optimality conditions for free problems in two or more independent variables (49K10) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02)
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