EXISTENCE OF SOLUTIONS FOR ELLIPTIC SYSTEMS IN R N INVOLVING THE p(x)-LAPLACIAN

Ali Djellit, Zahra Youbi, Saadia Tas
2012 Electronic Journal of Differential Equations   unpublished
This article presents sufficient conditions for the existence of non-trivial solutions for a nonlinear elliptic system. To establish this result, we use a classical existence theorem in reflexive Banach spaces, under some growth conditions on the non-linearities.
fatcat:pmgrxhgbyvfgrnhvigd72nnl3a