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摘要
We consider the semilinear Schrodinger equation @@@ {-Delta u + V(x)u = f(x, u), x is an element of R-N, @@@ u is an element of H-1 (R-N), @@@ where f (x, u) is asymptotically linear with respect to u, V(x) is 1-periodic in each of x(1), x(2), ..., x(N) and sup[sigma(-Delta + V) boolean AND (-infinity, 0)] < 0 < inf[sigma(-Delta + V) boolean AND (0, infinity)]. We develop a direct approach to find ground state solutions of Nehari-Pankov type for the above problem. The main idea is to find a minimizing Cerami sequence for the energy functional outside the Nehari-Pankov manifold N- by using the diagonal method.
- 出版日期2015-2
- 单位中南大学
