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, issue 10, 547-561

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

Date: 2002
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https://doi.org/10.1155/S1085337502206028

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:10:p:547-561

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