On existence and concentration of solutions to a class of quasilinear problems involving the 1-Laplace operator

Autor(es)

Alves, Claudianor O. ^[1] ; Pimenta, Marcos T. O. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB - Brazil

^[2] Univ Estadual Paulista, UNESP, Fac Ciencias & Tecnol, Dept Matemat & Computacao, BR-19060900 Presidente Prudente, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; v. 56, n. 5 OCT 2017.
• Citações Web of Science: 7

Resumo

In this work we use variational methods to prove results on existence and concentration of solutions to a problem in RN involving the 1-Laplacian operator. A thorough analysis on the energy functional defined in the space of functions of bounded variation BV(RN) is necessary, where the lack of compactness is overcome by using the Concentration of Compactness Principle due to Lions. (AU)

• Processo FAPESP: 17/01756-2 - Métodos variacionais aplicados a problemas modelados no espaço das funções de variação limitada
• Beneficiário: Marcos Tadeu de Oliveira Pimenta
• Modalidade de apoio: Auxílio à Pesquisa - Regular