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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.)

ultiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operato

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Author(s):
dos Santos, Gelson [1] ; Figueiredo, Giovany M. [2] ; Pimenta, Marcos T. O. [3]
Total Authors: 3
Affiliation:
[1] Univ Fed, Fac Matemat, BR-66075110 Belem, Para - Brazil
[2] Univ Brasilia, Dept Matemat, BR-70910900 Brasilia, DF - Brazil
[3] Univ Estadual Paulista, Fac Ciencia & Tecnol, Dept Matemat & Comp, BR-19060900 Presidente Prudente, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: JOURNAL OF GEOMETRIC ANALYSIS; v. 32, n. 4 APR 2022.
Web of Science Citations: 0
Abstract

In this paper, we use minimax methods, comparison arguments, and an approximation result to show the existence and multiplicity of solutions for the following class of problems: [-Delta(1)nu = lambda f(nu) in Omega, nu >= 0 in Omega, nu = 0 on partial derivative Omega, where Omega is a bounded smooth domain of R-N, N >= 1, lambda > 0 is a parameter and the non-linearity f : R -> R is a continuous function that can change sign and satisfies an area condition. (AU)

FAPESP's process: 21/04158-4 - Elliptic problems involving the mean-curvature operator in the space of functions of bounded variation
Grantee:Marcos Tadeu de Oliveira Pimenta
Support Opportunities: Regular Research Grants