Change search
ReferencesLink to record
Permanent link

Direct link
Ground state solutions for a semilinear problem with critical exponent
Stockholm University, Faculty of Science, Department of Mathematics. Matematik.
Institut für Mathematik, Goethe-Universität Frankfurt, Germany.
Institut de Mathématique Pure et Appliquée, Université Catholique de Louvain, Louvain-la-Neuve, Belgium.
2009 (English)In: Differential and Integral Equations, ISSN 0893-4983, Vol. 22, no 9-10, 15 p.913-926 p.Article in journal (Refereed) Published
Abstract [en]

This work is devoted to the existence and to qualitative properties of ground state solutions of the Dirchlet problem for the semilinear equation $-\Delta u-\lambda u=\vert u\vert^{2^*-2}u$ in a bounded domain. Here $2^*$ is the critical Sobolev exponent, and the term ground state refers to minimizers of the corresponding energy within the set of nontrivial solutions. We focus on the indefinite case where $\lambda$ is larger than the first Dirichlet eigenvalue of the Laplacian, and we present a particularly simple approach to the study of ground states.

Place, publisher, year, edition, pages
Athens, Ohio: Khayyam Publishing Company , 2009. Vol. 22, no 9-10, 15 p.913-926 p.
Keyword [en]
Semilinear Dirichlet problem, critical exponent, ground state, Morse index, radial solutions
National Category
Mathematical Analysis
Research subject
URN: urn:nbn:se:su:diva-16778ISI: 000277456500009OAI: diva2:183298
Available from: 2008-12-23 Created: 2008-12-23 Last updated: 2010-01-04Bibliographically approved

Open Access in DiVA

No full text

Other links

Search in DiVA

By author/editor
Szulkin, Andrzej
By organisation
Department of Mathematics
In the same journal
Differential and Integral Equations
Mathematical Analysis

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 61 hits
ReferencesLink to record
Permanent link

Direct link