Skip Navigation



Proceedings of the London Mathematical Society Advance Access published online on January 10, 2007
Proceedings of the London Mathematical Society, doi:10.1112/plms/pdl020
This Article
Right arrow Full Text
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
94/2/497    most recent
pdl020v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Esposito, P.
Right arrow Articles by Pistoia, A.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2007 London Mathematical Society

On the existence and profile of nodal solutions for a two-dimensional elliptic problem with large exponent in nonlinearity

Pierpaolo Esposito1, Monica Musso2,3 and Angela Pistoia4

1 Dipartimento di Matematica
Università degli Studi ‘Roma Tre’
Largo S. Leonardo Murialdo
1–00146 Rome
Italy
esposito{at}mat.uniroma3.it
2 Departamento de Matemática
Pontificia Universidad Catolica de Chile
Avenida Vicuña Mackenna 4860
Macul
Santiago
Chile
3 Dipartimento di Matematica
Politecnico di Torino
Corso Duca degli Abruzzi
24–10129 Turin
Italy
monica.musso{at}polito.it
4 Dipartimento di Metodi e Modelli Matematici
Università di Roma ‘La Sapienza’
00100 Rome
Italy
pistoia{at}dmmm.uniroma1.it

Received 28 October 2005. Revision received 14 June 2006.

We study the existence of nodal solutions to the boundary value problem – {Delta}u = |u|p – 1u in a bounded, smooth domain {Omega} in R2, with homogeneous Dirichlet boundary condition, when p is a large exponent. We prove that, for p large enough, there exist at least two pairs of solutions which change sign exactly once and whose nodal lines intersect the boundary of {Omega}.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.