科研之友
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摘要
In this paper, we study the following generalized quasilinear Schrodinger equation @@@ -div(g(2)(u)del u) + g(u)vertical bar del u vertical bar(2) + V(x)u = f(x,u), x is an element of R-N, @@@ where N >= 3, 2* = 2N/N-2, g is an element of C-1(R, R+), V(x) and f(x, u) are 1-periodic on x. By using a change of variable, we obtain the existence of ground states solutions. Unlike the Nahari manifold method, the main idea of our approach lies on finding a minimizing Cerami sequence for the energy functional outside the manifold by using the diagonal method.
