000 02600nam a22004455i 4500
001 978-0-387-55249-1
003 DE-He213
005 20260521091925.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387552491
020 _a99780387552491
024 7 _a10.1007/978-0-387-55249-1
_2doi
040 _cCICY
082 0 4 _a515.353
_223
100 1 _aDacorogna, Bernard.
_eauthor.
245 1 0 _aDirect Methods in the Calculus of Variations
_h[recurso electrónico] /
_cby Bernard Dacorogna.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v78
505 0 _aConvex 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.
520 _aThis 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.
650 0 _aMATHEMATICS.
650 0 _aDIFFERENTIAL EQUATIONS, PARTIAL.
650 0 _aMATHEMATICAL OPTIMIZATION.
650 1 4 _aMATHEMATICS.
650 2 4 _aPARTIAL DIFFERENTIAL EQUATIONS.
650 2 4 _aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387357799
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v78
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-55249-1
_zVer el texto completo en las instalaciones del CICY
942 _2ddc
_cER
999 _c33850
_d33850