Abstract
In this paper, we consider the following perturbed p-Laplacian system
where , , satisfy , denotes the critical Sobolev exponent. Under some mild conditions on V, g and h, we show that the problem has at least one positive weak solution provided , where is a sufficiently small positive number. Moreover, in X as
Acknowledgements
The authors would like to express sincere thanks to the anonymous referee for his/her carefully reading the manuscript and valuable comments and suggestions.
Notes
No potential conflict of interest was reported by the authors.