Continuous dependence of solutions for indefinite semilinear elliptic problems

Carregando...
Imagem de Miniatura

Data

2013

Título da Revista

ISSN da Revista

Título de Volume

Editor

Resumo

We consider the superlinear elliptic problem −∆u + m(x)u = a(x)u p in a bounded smooth domain under Neumann boundary conditions, where m ∈ L σ (Ω), σ ≥ N/2 and a ∈ C(Ω) is a sign changing function. Assuming that the associated first eigenvalue of the operator −∆ + m is zero, we use constrained minimization methods to study the existence of a positive solution when m b is a suitable perturbation of m.

Descrição

Palavras-chave

Citação

SILVA, Elves A. B.; SILVA, Maxwell L. Continuous dependence of solutions for indefinite semilinear elliptic problems. Electronic Journal of Differential Equations, San Marcos, v. 2013, n. 239, p. 1-17, 2013.