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Abstract
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Boundary Value Problems
Volume 2009 (2009), Article ID 687385, 20 pages
doi:10.1155/2009/687385

Multiplicity of positive and nodal solutions for nonhomogeneous elliptic problems in unbounded cylinder domains

Tsing-San Hsu

Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan

Abstract

We show that if a(x) and f(x) satisfy some suitable conditions, then the Dirichlet problem −Δu+u=a(x)|u|p−2u+f(x) in Ω has a solution that changes sign in Ω, in addition to two positive solutions where Ω is an unbounded cylinder domain in ℝN.