Cohomology and partial differential equations

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Autor principal: Marinho, Artur Jorge
Data de publicació: 2024
Format: Master thesis
Idioma: eng
Font: Repositório Institucional da UFG
Download full: http://repositorio.bc.ufg.br/tede/handle/tede/13453
Sumari: 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.