Existence of homoclinic solutions for two classes of differential systems with p-Laplacian
Abstract
In this paper, we are concerned with a class of periodic differential systems with p-Laplacian when the potential is with superquadratic or asymptotically quadratic growth at infinity in the second variable. Using the monotonicity tric of Jeanjean and the concentration compactness principle, we prove the existence of homoclinic solution. Some recent results in the literature are generalized and significantly improved.
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