02600nam a22004455i 4500 978-0-387-55249-1 DE-He213 20260521091925.0 cr nn 008mamaa 100301s2007 xxu| s |||| 0|eng d 9780387552491 99780387552491 10.1007/978-0-387-55249-1 doi CICY 515.353 23 Dacorogna, Bernard. author. Direct Methods in the Calculus of Variations [recurso electrónico] / by Bernard Dacorogna. New York, NY : Springer New York, 2007. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Applied Mathematical Sciences, 0066-5452 ; 78 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. 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. MATHEMATICS. DIFFERENTIAL EQUATIONS, PARTIAL. MATHEMATICAL OPTIMIZATION. MATHEMATICS. PARTIAL DIFFERENTIAL EQUATIONS. CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION. SpringerLink (Online service) Springer eBooks Printed edition: 9780387357799 Applied Mathematical Sciences, 0066-5452 ; 78 http://dx.doi.org/10.1007/978-0-387-55249-1 Ver el texto completo en las instalaciones del CICY ddc ER 33850 33850 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 515.353 2025-07-10 08:40:05 2025-07-10 ER