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Type: Artigo de periódico
Title: On a resonant-superlinear elliptic problem
Author: Cuesta, M
de Figueiredo, DG
Srikanth, PN
Abstract: We start by discussing the solvability of the following superlinear problem [GRAPHICS] where 1 < p < N+1/N-1, Omega subset of R-N is a smooth bounded domain and f satisfies a one-sided Landesman-Lazer condition. We also consider systems of semilinear elliptic equations with nonlinearities of the above form, so exhibiting superlinearity as u --> + infinity and resonance as u --> -infinity. A priori bounds for the solutions of the equation and the system are obtained by using Hardy-type inequalities. Existence of solutions is then obtained using topological degree arguments.
Country: EUA
Editor: Springer-verlag
Citation: Calculus Of Variations And Partial Differential Equations. Springer-verlag, v. 17, n. 3, n. 221, n. 233, 2003.
Rights: fechado
Identifier DOI: 10.1007/s00526-002-0167-8
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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