TY  - BOOK
AU  - Dacorogna,Bernard
ED  - SpringerLink (Online service)
TI  - Direct Methods in the Calculus of Variations
T2  - Applied Mathematical Sciences,
SN  - 9780387552491
AV  - QA370-380 
U1  - 515.353 23
PY  - 2008///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Partial differential equations
KW  - Calculus of variations
KW  - Partial Differential Equations
KW  - Calculus of Variations and Optimal Control; Optimization
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-387-55249-1
ER  -