@Article{JPDE-14-4,
author = {},
title = {Remarks on the Shape of Least-energy Solutions to a Semilinear Dirichlet Problem},
journal = {Journal of Partial Differential Equations},
year = {2001},
volume = {14},
number = {4},
pages = {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^+ .},
issn = {2079-732X},
doi = {https://doi.org/2001-JPDE-5490},
url = {https://global-sci.com/article/88657/remarks-on-the-shape-of-least-energy-solutions-to-a-semilinear-dirichlet-problem}
}