Multiplicity of Positive and Nodal Solutions for Nonhomogeneous Elliptic Problems in Unbounded Cylinder Domains. (9th June 2009)

• Record Type: Journal Article
• Authors: Hsu, Tsing-San
• Other Names: Zhang Zhitao Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-06-09
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/687385
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We show that ifa ( x ) andf ( x ) satisfy some suitable conditions, then the Dirichlet problem− Δ u + u = a ( x ) | u | p − 2 u + f ( x ) inΩ has a solution that changes sign inΩ, in addition to two positive solutions whereΩ is an unbounded cylinder domain inℝ N .