The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity

Author	dc.contributor.author	Pino Manresa, Manuel del
Author	dc.contributor.author	Muñoz, Claudio	es_CL
Admission date	dc.date.accessioned	2009-03-26T17:19:42Z
Available date	dc.date.available	2009-03-26T17:19:42Z
Publication date	dc.date.issued	2006-12-01
Cita de ítem	dc.identifier.citation	JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 231 Issue: 1 Pages: 108-134 Published: DEC 1 2006	en
Identifier	dc.identifier.issn	0022-0396
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/124822
Abstract	dc.description.abstract	We consider the problem of Ambrosetti-Prodi type [GRAPHICS] where Q is a bounded, smooth domain in R-2, phi(1) is a positive first eigenfunction of the Laplacian under Dirichlet boundary conditions and h is an element of C-0,C-alpha(Omega). We prove that given k >= 1 this problem has at least k solutions for all sufficiently large s > 0, which answers affirmatively a conjecture by Lazer and McKenna [A.C. Lazer, P.J. McKenna, On the number of solutions of a nonlinear Dirichlet problem, J. Math. Anal. Appl. 84 (1981) 282-294] for this case. The solutions found exhibit multiple concentration behavior around maxima of phi(1) as s +infinity.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
Keywords	dc.subject	LIOUVILLE-TYPE EQUATIONS	en
Título	dc.title	The two-dimensional Lazer-McKenna conjecture for an exponential nonlinearity	en
Document type	dc.type	Artículo de revista