On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth

Marco A. S. Souto

Abstract and Applied Analysis, 2002, vol. 7, 1-15

Abstract:

We study the location of the peaks of solution for the critical growth problem − ε   2 Δ u + u = f ( u ) + u   2 * − 1 , u > 0 in Ω , u = 0 on ∂ Ω , where Ω is a bounded domain; 2 * = 2 N / ( N − 2 ) , N ≥ 3 , is the critical Sobolev exponent and f has a behavior like u p , 1 < p < 2 * − 1 .

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:361942

DOI: 10.1155/S1085337502206028

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