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Concentration of solutions for some singularly perturbed mixed problems : asymptotics of minimal energy solutions
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Garcia Azorero, Jesus, Malchiodi, A., Montoro, Luigi and Peral, Ireneo (2010) Concentration of solutions for some singularly perturbed mixed problems : asymptotics of minimal energy solutions. Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Vol.27 (No.1). pp. 37-56. doi:10.1016/j.anihpc.2009.06.005 ISSN 0294-1449.
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Official URL: http://dx.doi.org/10.1016/j.anihpc.2009.06.005
Abstract
In this paper we carry on the study of asymptotic behavior of some solutions to a singularly perturbed problem with mixed Dirichlet and Neumann boundary conditions, started in the first paper [J. Garcia Azorero, A. Malchiodi, L. Montoro, I. Peral, Concentration of solutions for some singularly perturbed mixed problems: Existence results, Arch. Ration. Mech. Anal., in press]. Here we are mainly interested in the analysis of the location and shape of least energy solutions when the singular perturbation parameter tends to zero. We show that in many cases they coincide with the new solutions produced in [J. Garcia Azorero, A. Malchiodi, L. Montoro, I. Peral, Concentration of solutions for some singularly perturbed mixed problems
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | ||||
Publisher: | Elsevier Masson | ||||
ISSN: | 0294-1449 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Vol.27 | ||||
Number: | No.1 | ||||
Page Range: | pp. 37-56 | ||||
DOI: | 10.1016/j.anihpc.2009.06.005 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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