Article ID Journal Published Year Pages File Type
844012 Nonlinear Analysis: Theory, Methods & Applications 2008 8 Pages PDF
Abstract

In this paper we study the existence and structure of the least-energy solutions for a class of singularly perturbed quasilinear elliptic equations. Using the moving plane method and a geometric lemma we show that any least-energy solution develops to a single spike-layer solution on convex domains.

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Physical Sciences and Engineering Engineering Engineering (General)
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Structure of least-energy solutions for quasilinear elliptic equations on convex domains
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