Cohomology and partial differential equations
Saved in:
| Main Author: | |
|---|---|
| Publication Date: | 2024 |
| Format: | Master thesis |
| Language: | eng |
| Source: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tede/13453 |
Summary: | This text deals with elliptic partial differential equation problems by the Morse theoric point of view. Since Morse theory has a connection with some concepts from algebraic topology, cohomology theory is employed to show existence result for a class of equations. The concept of cohomological index will be useful to show multiple solution results for the Brezis-Nirenberg problem for the p-Laplacian. |
Similar Items: Cohomology and partial differential equations
- Existência e multiplicidade de soluções não triviais para um problema elíptico envolvendo os operadores bi-harmônico e o p-Laplaciano
- Existence of positive eigenfunctions to an anisotropic elliptic operator via the sub-supersolution method
- Existência de uma solução não trivial para uma classe de problemas elípticos super quadrático
- Existence and concentration of positive solutions for a critical p&q equation
- Dinâmica em órbitas projetivas compactas e a decomposição de Jordan
- Dynamics and topology on maximal compact subgroups