Universität zu Köln

Charro, Fernando ORCID: 0000-0002-3589-5786 and Parini, Enea (2010). Limits as p -> infinity of p-Laplacian problems with a superdiffusive power-type nonlinearity: Positive and sign-changing solutions. J. Math. Anal. Appl., 372 (2). S. 629 - 645. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1096-0813

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Abstract

We investigate the asymptotic behaviour as p -> infinity of sequences of solutions of the equation {-Delta(p)u = lambda vertical bar u vertical bar(q(p)-2)u in Omega, u = 0 on partial derivative Omega, where lambda > 0 and q(p) > p with lim(p ->infinity) q(p)/p = Q >= 1. We are interested in the characterization of such limits as viscosity solutions of a PDE problem. Both positive and sign-changing solutions are considered. (C) 2010 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Charro, Fernando UNSPECIFIED orcid.org/0000-0002-3589-5786 UNSPECIFIED Parini, Enea UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-490618
DOI:	10.1016/j.jmaa.2010.07.005
Journal or Publication Title:	J. Math. Anal. Appl.
Volume:	372
Number:	2
Page Range:	S. 629 - 645
Date:	2010
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	1096-0813
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language EIGENVALUE PROBLEM; UNIQUENESS Multiple languages Mathematics, Applied; Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49061