摘要

This paper is concerned with the quasilinear Schrodinger system @@@ (0.1) {-Delta u + a(x)u - Delta(u(2))u = F-u(u, v) + h(x) x is an element of R-N, @@@ -Delta v + b(x)v - Delta(v(2))v = F-v(u, v) + g(x) x is an element of R-N, @@@ where N >= 3. The potential functions a(x), b(x) is an element of L-infinity (R-N) are bounded in R-N. By using mountain pass theorem and the Ekeland variational principle, we prove that there are at least two solutions to system (0.1).

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