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On the critical Schrödinger-Poisson system with p-Laplacian

题目:On the critical Schrödinger-Poisson system with p-Laplacian

作者:苏加宝 

简介:In this paper we consider the critical quasilinear Schrodinger-Poisson system {-Delta(p)u + vertical bar u vertical bar(p-2)u + mu phi vertical bar u vertical bar(p-2)u = lambda vertical bar u vertical bar(q-2)u + vertical bar u vertical bar(p)*(-2)u, in R-3, -Delta phi = vertical bar u vertical bar(p), in R-3, where 3/2 < p < 3, Delta(p)u = div(vertical bar del u vertical bar(p-2)del u), p < q < p* := 3p/3-p and mu, lambda > 0. Based upon the variational approach, the ground state solutions and the nontrivial solutions are obtained depending on the parameters q, mu and lambda.

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