Center for General Education, Chang Gung University, Kwei-Shan, Tao-Yuan 333, Taiwan
Copyright © 2010 Tsing-San Hsu. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.