Dacorogna, Bernard. creator author. SpringerLink (Online service) text xxu 2007 monographic eng

electronic

recurso electrónico

access online resource. This book studies vectorial problems in the calculus of variations and quasiconvex analysis. It is a new edition of the earlier book published in 1989 and has been updated with some new material and examples added. This monograph will appeal to researchers and graduate students in mathematics and engineering. Convex analysis and the scalar case -- Convex sets and convex functions -- Lower semicontinuity and existence theorems -- The one dimensional case -- Quasiconvex analysis and the vectorial case -- Polyconvex, quasiconvex and rank one convex functions -- Polyconvex, quasiconvex and rank one convex envelopes -- Polyconvex, quasiconvex and rank one convex sets -- Lower semi continuity and existence theorems in the vectorial case -- Relaxation and non-convex problems -- Relaxation theorems -- Implicit partial differential equations -- Existence of minima for non-quasiconvex integrands -- Miscellaneous -- Function spaces -- Singular values -- Some underdetermined partial differential equations -- Extension of Lipschitz functions on Banach spaces. by Bernard Dacorogna. MATHEMATICS DIFFERENTIAL EQUATIONS, PARTIAL MATHEMATICAL OPTIMIZATION MATHEMATICS PARTIAL DIFFERENTIAL EQUATIONS CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION 515.353 9780387552491 99780387552491 http://dx.doi.org/10.1007/978-0-387-55249-1 http://dx.doi.org/10.1007/978-0-387-55249-1 100301 20260521091925.0 978-0-387-55249-1