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|Title:||Semilinear elliptic problems near resonance with a nonprincipal eigenvalue|
|Author:||Paiva, Francisco Odair de|
|Abstract:||We consider the Dirichlet problem for the equation -Delta u = lambda u +/- (x, u) + h(x) in a bounded domain, where f has a sublinear growth and h is an element of L-2. We find suitable conditions on f and It in order to have at least two solutions for X near to an eigenvalue of -Delta. A typical example to which our results apply is when f (x, u) behaves at infinity like a(x)vertical bar u vertical bar(q-2)u, with M > a(x) > delta > 0, and I < q < 2|
|Subject:||Equações semilineares elípticas|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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