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

Alves, Claudianor O.; Pimenta, Marcos T. O.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):	Alves, Claudianor O. ^[1] ; Pimenta, Marcos T. O. ^[2] Total Authors: 2
Affiliation:	^[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 Total Affiliations: 2
Document type:	Journal article
Source:	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS; v. 56, n. 5 OCT 2017.
Web of Science Citations:	7
Abstract
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)

FAPESP's process:	17/01756-2 - Variational methods applied to problems modeled in the space of functions of bounded variation
Grantee:	Marcos Tadeu de Oliveira Pimenta
Support Opportunities:	Regular Research Grants

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