A convex-concave problem with a nonlinear boundary condition

In this paper we study the existence of nontrivial solutions of the problem {-Δu+u = u p-2u in Ω, {∂u/∂v = λ u q-2u on ∂Ω, with 1<q<2(N-1)/(N-2) and 1<p≤2N/(N-2). In the concave-convex case, i.e., 1<q<2<p, if λ is small there exist two positive solutions whi...

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Autores principales: Garcia-Azorero, J., Peral, I., Rossi, J.D.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2004
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00220396_v198_n1_p91_GarciaAzorero
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