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001 | 297489 | ||
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008 | 150903s2008 gw | o |||| 0|eng d | ||
020 |
_a9783540740131 _99783540740131 |
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024 | 7 |
_a10.1007/9783540740131 _2doi |
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035 | _avtls000350730 | ||
039 | 9 |
_a201509030420 _bVLOAD _c201405060239 _dVLOAD _y201402171104 _zstaff |
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_aMX-SnUAN _bspa _cMX-SnUAN _erda |
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100 | 1 |
_aStruwe, Michael. _eautor _9333267 |
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245 | 1 | 0 |
_aVariational Methods : _bApplications to Nonlinear Partial Differential Equations and Hamiltonian Systems / _cby Michael Struwe. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2008. |
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300 |
_axx, 302 páginas _brecurso en línea. |
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_atexto _btxt _2rdacontent |
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_acomputadora _bc _2rdamedia |
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_arecurso en línea _bcr _2rdacarrier |
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_aarchivo de texto _bPDF _2rda |
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_aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ; _v34 |
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500 | _aSpringer eBooks | ||
505 | 0 | _aThe Direct Methods in the Calculus of Variations -- Lower Semi-Continuity -- Constraints -- Compensated Compactness -- The Concentration-Compactness Principle -- Ekeland's Variational Principle -- Duality -- Minimization Problems Depending on Parameters -- Minimax Methods -- The Finite Dimensional Case -- The Palais-Smale Condition -- A General Deformation Lemma -- The Minimax Principle -- Index Theory -- The Mountain Pass Lemma and its Variants -- Perturbation Theory -- Linking -- Parameter Dependence -- Critical Points of Mountain Pass Type -- Non-Differentiable Functionals -- Ljusternik-Schnirelman Theory on Convex Sets -- Limit Cases of the Palais-Smale Condition -- Pohozaev's Non-Existence Result -- The Brezis-Nierenberg Result -- The Effect of Topology -- The Yamabe Problem -- The Dirichlet Problem for the Equation of Constant Mean Curvature -- Harmonic Maps of Riemannian Surfaces -- Appendix A -- Appendix B -- Appendix C -- References -- Index. | |
520 | _aHilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and Radó. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. The fourth edition gives a survey on new developments in the field. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Also the recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. Aside from these more significant additions, a number of smaller changes throughout the text have been made and the references have been updated. | ||
590 | _aPara consulta fuera de la UANL se requiere clave de acceso remoto. | ||
710 | 2 |
_aSpringerLink (Servicio en línea) _9299170 |
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776 | 0 | 8 |
_iEdición impresa: _z9783540740124 |
856 | 4 | 0 |
_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-540-74013-1 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL) |
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