摘要
We study the following quasilinear Schrodinger equation-△u+V(x)u-△(u^(2))u=K(x)g(u),x∈R^(3),where the nonlinearity g(u)is asymptotically cubic at infinity,the potential V(x)may vanish at infinity.Under appropriate assumptions on K(x),we establish the existence of a nontrivial solution by using the mountain pass theorem.
基金
the National Natural Science Foundation of China(No.11901499 and No.11901500)
Nanhu Scholar Program for Young Scholars of XYNU(No.201912)。
