Boundary oscillations and nonlinear boundary conditions

Nenhuma Miniatura disponível

Data

2006-07-15

Orientador

Coorientador

Pós-graduação

Curso de graduação

Título da Revista

ISSN da Revista

Título de Volume

Editor

Elsevier B.V.

Tipo

Artigo

Direito de acesso

Acesso restrito

Resumo

We study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic equations with nonlinear boundary conditions of the type partial derivative u/partial derivative n + g(x, u) = 0. We show that there exists a function gamma defined on the boundary, that depends on an the oscillations at the boundary, such that, if gamma is a bounded function, then, for all nonlinearities g, the limiting boundary condition is given by partial derivative u/partial derivative n + gamma(x)g(x, u) = 0 (Theorem 2.1, Case 1). Moreover, if g is dissipative and gamma infinity then we obtain a Dirichlet an boundary condition (Theorem 2.1, Case 2).

Descrição

Palavras-chave

Idioma

Inglês

Como citar

Comptes Rendus Mathematique. Paris: Elsevier France-editions Scientifiques Medicales Elsevier, v. 343, n. 2, p. 99-104, 2006.

Itens relacionados

Financiadores