Existence and Multiplicity of Positive Solutions to a Class of Quasilinear Elliptic Equations in ℝN

We consider the following class of quasilinear elliptic equations -hpΔpu+Vε(x)|u|p-2u=|u|q-2u, u(x)>0 for all x∈RN, where h>0, Δpu= div(|∇u|p-2∇u), 2≤p<N, p<q&#x000...

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Bibliographic Details
Main Author: Tsing-San Hsu
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2010/579387