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Fourth-Order Problems with Mixed Dispersion

This thesis is devoted to the study the mixed dispersion fourth order nonlinear Schrodinger equations. Our main concern is standing wave solutions. Our approach is based on minimization methods with constraints. Under suitable conditions, we establish existence of minimizers and we investigate their qualitative properties, namely their sign, symmetry and decay at infinity as well as their uniqueness, nondegeneracy and orbital stability. / Doctorat en Sciences / info:eu-repo/semantics/nonPublished

Identiferoai:union.ndltd.org:ulb.ac.be/oai:dipot.ulb.ac.be:2013/273266
Date29 June 2018
CreatorsAlves Do Nascimento Filho, Robson
ContributorsBonheure, Denis, Premoselli, Bruno, Casteras, Jean-Baptiste, Moreira dos Santos, Ederson, Gazzola, Filippo
PublisherUniversite Libre de Bruxelles, Université libre de Bruxelles, Faculté des Sciences – Mathématiques, Bruxelles
Source SetsUniversité libre de Bruxelles
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/doctoralThesis, info:ulb-repo/semantics/doctoralThesis, info:ulb-repo/semantics/openurl/vlink-dissertation
FormatNo full-text files

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