涉及参数势的拟线性薛定谔方程的基态解OACHSSCD

This paper studies a class of quasilinear Schrödinger equations involving parametric potential:-Δu+λV(x)u+K/2 Δ(u2)u=f(x,u),x∈RN Where N≥3,λ＞0 and K＞0 are all real parameters,and f is a continuous function.When|u|→∞,f satisfies the superlinear(subcritical)conditions at the origin with respect to u Moreover,under the given appropriate potential function V by using the variational method,the Mountain Pass Lemma and L∞ estimates,we proves the existence of ground state solutions for the above mentioned equation for the parameter λ＞0 sufficiently large.