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|Type:||Artigo de periódico|
|Title:||On a resonant-superlinear elliptic problem|
de Figueiredo, DG
|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.|
|Citation:||Calculus Of Variations And Partial Differential Equations. Springer-verlag, v. 17, n. 3, n. 221, n. 233, 2003.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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