000 | 02612nam a22004575i 4500 | ||
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001 | 978-0-387-55249-1 | ||
003 | DE-He213 | ||
005 | 20160302163209.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2008 xxu| s |||| 0|eng d | ||
020 |
_a9780387552491 _9978-0-387-55249-1 |
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024 | 7 |
_a10.1007/978-0-387-55249-1 _2doi |
|
050 | 4 | _aQA370-380 | |
072 | 7 |
_aPBKJ _2bicssc |
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072 | 7 |
_aMAT007000 _2bisacsh |
|
082 | 0 | 4 |
_a515.353 _223 |
100 | 1 |
_aDacorogna, Bernard. _eauthor. |
|
245 | 1 | 0 |
_aDirect Methods in the Calculus of Variations _h[electronic resource] / _cby Bernard Dacorogna. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2008. |
|
300 |
_aXII, 622 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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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 | _aPartial differential equations. | |
650 | 0 | _aCalculus of variations. | |
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 |
912 | _aZDB-2-SMA | ||
999 |
_c180149 _d180149 |