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Concentration of solutions for some singularly perturbed mixed problems: Asymptotics of minimal energy solutions

TitleConcentration of solutions for some singularly perturbed mixed problems: Asymptotics of minimal energy solutions
Publication TypeJournal Article
Year of Publication2010
AuthorsGarcia Azorero, J, Malchiodi, A, Montoro, L, Peral, I
JournalAnn. Inst. H. Poincare Anal. Non Lineaire 27 (2010) 37-56
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. 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.

URLhttp://hdl.handle.net/1963/3409
DOI10.1016/j.anihpc.2009.06.005
Alternate JournalConcentration of solutions for some singularly perturbed mixed problems. Part II: asymptotics of minimal energy solutions

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