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Open Access Research Article

Multiple Positive Solutions for a Class of Concave-Convex Semilinear Elliptic Equations in Unbounded Domains with Sign-Changing Weights

Tsing-San Hsu

Author Affiliations

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

Boundary Value Problems 2010, 2010:856932  doi:10.1155/2010/856932

Published: 21 October 2010

Abstract

We study the existence and multiplicity of positive solutions for the following Dirichlet equations: in , on , where , ( if ; if ), is a smooth unbounded domain in , , and satisfy suitable conditions, and maybe change sign in .