Abstract
In this paper, our main purpose is to establish the existence of weak solutions of a weak solutions of a class of p-q-Laplacian system involving concave-convex nonlinearities: where is a bounded domain in , , > 0, and 1 , , is the critical Sobolev exponent, is the s-Laplacian of u. when 1 . The existence results of solutions are obtained by variational methods.
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