Open Access Research Article

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

Tsing-San Hsu

Author Affiliations

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

Boundary Value Problems 2010, 2010:579387  doi:10.1155/2010/579387

Published: 8 March 2010

Abstract

We consider the following class of quasilinear elliptic equations , for all , where , , , . We allow the potential to be unbounded below and prove the existence and multiplicity for positive solutions.