Year: 2001
Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 4 : pp. 365–383
Abstract
Structure of least-energy solutions to singularly perturbed semilinear Dirichlet problem ε²Δu - u^α + g(u) = 0 in Ω,u = 0 on ∂Ω, Ω ⊂ ⋅R^N a bounded smooth domain, is precisely studied as ε → 0^+, for 0 < α < 1 and a superlinear, subcritical nonlinearity g(u). It is shown that there are many least-energy solutions for the problem and they are spike-layer solutions. Moreover, the measure of each spike-layer is estimated as ε → 0^+ .
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JPDE-5490
Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 4 : pp. 365–383
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Least-energy solutions