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| Author(s): |
Jéssyca Lange Ferreira Melo
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: | 2014-06-18 |
| Examining board members: |
Ederson Moreira dos Santos;
Marcelo Fernandes Furtado;
Francisco Odair Vieira de Paiva;
Sérgio Henrique Monari Soares;
Marco Aurélio Soares Souto
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| Advisor: | Ederson Moreira dos Santos |
| Abstract | |
In this work we study the existence and multiplicity of positive classical solutions for a class of fourth-order problems under Navier boundary condition, relating the number of solutions to the domain topology, more specifically, to its Lusternik-Schnirelman category. We also introduce the notion of critical and noncritical regions related to one of our problems, in order to ensure conditions to existence of solutions (AU) | |
| FAPESP's process: | 10/00603-9 - Hamiltonian systems of elliptic equations |
| Grantee: | Jessyca Lange Ferreira Melo |
| Support Opportunities: | Scholarships in Brazil - Doctorate |