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010   $a3-319-06914-4
024 7 $a10.1007/978-3-319-06914-2
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035   $a(EBL)1964665
035   $a(OCoLC)896848824
035   $a(SSID)ssj0001372827
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035   $a(PQKBTitleCode)TC0001372827
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035   $a(DE-He213)978-3-319-06914-2
035   $a(PPN)182098532
035   $a(EXLCZ)993710000000268420
100   $a20141024d2014      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aVariational Methods in Nonlinear Field Equations $eSolitary Waves, Hylomorphic Solitons and Vortices /$fby Vieri Benci, Donato Fortunato
205   $a1st ed. 2014.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014.
215   $a1 online resource (266 p.)
225 1 $aSpringer Monographs in Mathematics,$x1439-7382
300   $aDescription based upon print version of record.
311 0 $a3-319-06913-6 
320   $aIncludes bibliographical references.
327   $a1 The general principles -- 2 Solitary waves and solitons: abstract theory -- 3 The nonlinear Schrödinger equation -- 4 The nonlinear Klein-Gordon equation -- 5 The Nonlinear Klein-Gordon-Maxwell equations -- 6 The nonlinear Schrödinger-Maxwell equations -- 7 The nonlinear beam equation -- 8 Vortices -- 9 Appendix.
330   $aThe book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists.
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aDifferential equations, Partial
606   $aMathematical analysis
606   $aCalculus
606   $aMathematical physics
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
615  0$aDifferential equations, Partial.
615  0$aMathematical analysis.
615  0$aCalculus.
615  0$aMathematical physics.
615 14$aPartial Differential Equations.
615 24$aAnalysis.
615 24$aMathematical Physics.
676   $a510
676   $a515
676   $a515.353
676   $a530.15
700   $aBenci$b V$g(Vieri),$4aut$4http://id.loc.gov/vocabulary/relators/aut$066367
702   $aFortunato$b D$g(Donato),$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910299972803321
996   $aVariational Methods in Nonlinear Field Equations$92499260
997   $aUNINA