Center for General Education, Chang Gung University, Kwei-Shan, Tao-Yuan 333, Taiwan
Copyright © 2012 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.
Let be an-open bounded domain in and . We consider the following quasilinear elliptic system of two equations in : , where , denotes the -Laplacian operator, , satisfy , and are continuous functions on which are somewhere positive but which may change sign on . We establish the existence and multiplicity results of positive solutions to (the above mentioned quasilinear elliptic system equations) by variational methods.