Resonance phenomenon for a Gelfand-type problem

Chen, WJ; Dávila J.

Abstract

We consider positive radially symmetric solutions of -Delta u = lambda(e(u) - 1), in B, u = 0 on partial derivative B, where B is the unit ball in R-N, N >= 3 and lambda > 0 is a parameter. We establish infinite multiplicity of regular solutions for 3 <= N <= 9 and some lambda, and we obtain a bound for the Morse index and the number of solutions when N >= 10. (C) 2013 The Authors. Published by Elsevier Ltd. All rights reserved.

Más información

Título según WOS: Resonance phenomenon for a Gelfand-type problem
Título según SCOPUS: Resonance phenomenon for a Gelfand-type problem
Título de la Revista: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volumen: 89
Editorial: PERGAMON-ELSEVIER SCIENCE LTD
Fecha de publicación: 2013
Página de inicio: 299
Página final: 321
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S0362546X13001508
DOI:

10.1016/j.na.2013.05.008

Notas: ISI, SCOPUS