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| Author(s): |
Rodrigo Cohen Mota Nemer
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Carlos. |
| Institution: | Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) |
| Defense date: | 2013-12-02 |
| Examining board members: |
Sérgio Henrique Monari Soares;
Claudianor Oliveira Alves;
Everaldo Souto de Medeiros;
Elves Alves de Barros e Silva;
Marco Aurélio Soares Souto
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| Advisor: | Sérgio Henrique Monari Soares; Claudianor Oliveira Alves |
| Abstract | |
We study the existence of nontrivial solutions for a class of nonlinear Schrödinger equations involving a magnetic field with Dirichlet or mixed DirichletNeumann boundary condition. In the first two chapters we give an estimate for the number of nontrivial solutions for the Dirichlet boundary value problem in terms of topology of the domain. In the last two chapters we consider mixed DirichletNeumann boundary value problems and the estimation of the number of nontrivial solutions is given in terms of the topology of the part of the boundary where the Neumann condition is prescribed. In both cases, we use Lyusternik- Shnirelman category and the Morse theory (AU) | |
| FAPESP's process: | 10/05892-9 - Multiplicity of solutions for quasilinear equations via Morse theory |
| Grantee: | Rodrigo Cohen Mota Nemer |
| Support Opportunities: | Scholarships in Brazil - Doctorate |