Cohomology and partial differential equations
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| Hlavní autor: | |
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| Datum vydání: | 2024 |
| Médium: | Master thesis |
| Jazyk: | eng |
| Zdroj: | Repositório Institucional da UFG |
| Download full: | http://repositorio.bc.ufg.br/tede/handle/tede/13453 |
Shrnutí: | 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. |
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