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Concentration of solutions for some singularly perturbed mixed problems : existence results
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Azorero, Jesus Garcia, Malchiodi, A., Montoro, Luigi and Peral, Ireneo (2010) Concentration of solutions for some singularly perturbed mixed problems : existence results. Archive for Rational Mechanics and Analysis, Vol.196 (No.3). pp. 907-950. doi:10.1007/s00205-009-0259-0 ISSN 0003-9527.
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Official URL: http://dx.doi.org/10.1007/s00205-009-0259-0
Abstract
In this paper,we study the asymptotic behavior of some solutions to a singularly perturbed problem with mixed Dirichlet and Neumann boundary conditions. We prove that, under suitable geometric conditions on the boundary of the domain, there exist solutions which approach the intersection of the Neumann and the Dirichlet parts as the singular perturbation parameter tends to zero.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Archive for Rational Mechanics and Analysis | ||||
Publisher: | Springer | ||||
ISSN: | 0003-9527 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Vol.196 | ||||
Number: | No.3 | ||||
Page Range: | pp. 907-950 | ||||
DOI: | 10.1007/s00205-009-0259-0 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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