The problem -epsilon(2)Deltau + a(epsilon)(x)u = u(p-1) with zero Dirichlet boundary condition is considered in a nontrivial bounded domain Omega subset of R-N. Under the assumption that a, (x) greater than or equal to a(0) > 0 concentrates at a point of Omega as epsilon --> 0 and has a suitable behaviour at infinity and, moreover, that p > 2 and p < 2N/N-2 if N greater than or equal to 3, the existence of at least (catOmega) + 2 distinct positive solutions is proved.

Cerami, G., Molle, R. (2004). A multiplicity result for singularly perturbed problems in topologically nontrivial domains. ADVANCED NONLINEAR STUDIES, 4(4), 431-452.

A multiplicity result for singularly perturbed problems in topologically nontrivial domains

MOLLE, RICCARDO
2004-01-01

Abstract

The problem -epsilon(2)Deltau + a(epsilon)(x)u = u(p-1) with zero Dirichlet boundary condition is considered in a nontrivial bounded domain Omega subset of R-N. Under the assumption that a, (x) greater than or equal to a(0) > 0 concentrates at a point of Omega as epsilon --> 0 and has a suitable behaviour at infinity and, moreover, that p > 2 and p < 2N/N-2 if N greater than or equal to 3, the existence of at least (catOmega) + 2 distinct positive solutions is proved.
2004
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/05 - ANALISI MATEMATICA
English
Con Impact Factor ISI
Concentrating potential; Multiplicity of solutions; Nontrivial domains
Cerami, G., Molle, R. (2004). A multiplicity result for singularly perturbed problems in topologically nontrivial domains. ADVANCED NONLINEAR STUDIES, 4(4), 431-452.
Cerami, G; Molle, R
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/33058
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