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Fourth-Order Problems with Mixed DispersionAlves Do Nascimento Filho, Robson 29 June 2018 (has links)
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
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