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Concentration of solutions for some singularly perturbed mixed problems. Part I: existence results

TitleConcentration of solutions for some singularly perturbed mixed problems. Part I: existence results
Publication TypeJournal Article
Year of Publication2010
AuthorsGarcia Azorero, J, Malchiodi, A, Montoro, L, Peral, I
JournalArch. Ration. Mech. Anal. 196 (2010) 907-950
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.

URLhttp://hdl.handle.net/1963/3406
DOI10.1007/s00205-009-0259-0

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