On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth
We study the location of the peaks of solution for the critical growth problem −ε 2Δu+u=f(u)+u 2*−1, u>0 in Ω, u=0 on ∂Ω, where Ω is a bounded domain; 2*=2N/(N−2), N≥3, is the critical Sobolev exponent and f has a behavior like up, 1<p<2*−1.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2002-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337502206028 |
| id |
doaj-b49373b446a045b2907be37810a9660b |
|---|---|
| record_format |
Article |
| spelling |
doaj-b49373b446a045b2907be37810a9660b2020-11-25T00:13:51ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092002-01-0171054756110.1155/S1085337502206028On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growthMarco A. S. Souto0Universidade Federal de Campina Grande, Departamento de Matemática e Estatıstica, Campina Grande-Pb, Cep 58109-970, BrazilWe study the location of the peaks of solution for the critical growth problem −ε 2Δu+u=f(u)+u 2*−1, u>0 in Ω, u=0 on ∂Ω, where Ω is a bounded domain; 2*=2N/(N−2), N≥3, is the critical Sobolev exponent and f has a behavior like up, 1<p<2*−1.http://dx.doi.org/10.1155/S1085337502206028 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Marco A. S. Souto |
| spellingShingle |
Marco A. S. Souto On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth Abstract and Applied Analysis |
| author_facet |
Marco A. S. Souto |
| author_sort |
Marco A. S. Souto |
| title |
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth |
| title_short |
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth |
| title_full |
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth |
| title_fullStr |
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth |
| title_full_unstemmed |
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth |
| title_sort |
on the location of the peaks of least-energy solutions to semilinear dirichlet problems with critical growth |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2002-01-01 |
| description |
We study the location of the peaks of solution for the critical growth problem −ε 2Δu+u=f(u)+u 2*−1, u>0 in Ω, u=0 on ∂Ω, where Ω is a bounded domain; 2*=2N/(N−2), N≥3, is the critical Sobolev exponent and f has a behavior like up, 1<p<2*−1. |
| url |
http://dx.doi.org/10.1155/S1085337502206028 |
| work_keys_str_mv |
AT marcoassouto onthelocationofthepeaksofleastenergysolutionstosemilineardirichletproblemswithcriticalgrowth |
| _version_ |
1725392854649405440 |