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Variational methods in nonlinear field equations: solitary waves, hylomorphic solitons and vortices

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Main Authors:	Benci, Vieri (Author), Fortunato, Donato (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2014
Series:	Springer monographs in mathematics
Subjects:	Electronic book text
Links:	https://doi.org/10.1007/978-3-319-06914-2 https://doi.org/10.1007/978-3-319-06914-2 https://doi.org/10.1007/978-3-319-06914-2 https://doi.org/10.1007/978-3-319-06914-2 https://doi.org/10.1007/978-3-319-06914-2 https://doi.org/10.1007/978-3-319-06914-2 https://doi.org/10.1007/978-3-319-06914-2 https://doi.org/10.1007/978-3-319-06914-2 https://doi.org/10.1007/978-3-319-06914-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637945&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637945&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	1 Online-Ressource
ISBN:	9783319069135 9783319069142
DOI:	10.1007/978-3-319-06914-2

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adam_text	VARIATIONAL METHODS IN NONLINEAR FIELD EQUATIONS / BENCI, VIERI : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS 1THE GENERAL PRINCIPLES 2SOLITARY WAVES AND SOLITONS: ABSTRACT THEORY 3THE NONLINEAR SCHROEDINGER EQUATION 4THE NONLINEAR KLEIN-GORDON EQUATION 5THE NONLINEAR KLEIN-GORDON-MAXWELL EQUATIONS 6THE NONLINEAR SCHROEDINGER-MAXWELL EQUATIONS 7THE NONLINEAR BEAM EQUATION 8VORTICES 9APPENDIX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. VARIATIONAL METHODS IN NONLINEAR FIELD EQUATIONS / BENCI, VIERI : 2014 ABSTRACT / INHALTSTEXT THE 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 AUTHORSAPPLY THIS THEORY TO PROVE THE EXISTENCE OF HYLOMORPHIC SOLITONS FOR SOME CLASSES OF FIELD EQUATIONS (NONLINEAR KLEIN-GORDON-MAXWELL EQUATIONS, NONLINEAR SCHROEDINGER-MAXWELL EQUATIONS, NONLINEAR BEAM EQUATION,.). THE ABSTRACT THEORY IS SUFFICIENTLY FLEXIBLE TO BE APPLIED TO OTHER SITUATIONS, LIKE THEEXISTENCE OF VORTICES. THE BOOKS IS ADDRESSED TO MATHEMATICIANS AND PHYSICISTS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spellingShingle	Benci, Vieri Fortunato, Donato Variational methods in nonlinear field equations solitary waves, hylomorphic solitons and vortices
title	Variational methods in nonlinear field equations solitary waves, hylomorphic solitons and vortices
title_auth	Variational methods in nonlinear field equations solitary waves, hylomorphic solitons and vortices
title_exact_search	Variational methods in nonlinear field equations solitary waves, hylomorphic solitons and vortices
title_full	Variational methods in nonlinear field equations solitary waves, hylomorphic solitons and vortices Vieri Benci ; Donato Fortunato
title_fullStr	Variational methods in nonlinear field equations solitary waves, hylomorphic solitons and vortices Vieri Benci ; Donato Fortunato
title_full_unstemmed	Variational methods in nonlinear field equations solitary waves, hylomorphic solitons and vortices Vieri Benci ; Donato Fortunato
title_short	Variational methods in nonlinear field equations
title_sort	variational methods in nonlinear field equations solitary waves hylomorphic solitons and vortices
title_sub	solitary waves, hylomorphic solitons and vortices
url	https://doi.org/10.1007/978-3-319-06914-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637945&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027637945&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT bencivieri variationalmethodsinnonlinearfieldequationssolitarywaveshylomorphicsolitonsandvortices AT fortunatodonato variationalmethodsinnonlinearfieldequationssolitarywaveshylomorphicsolitonsandvortices

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