| In this paper,we study a class of generalized quasilinear Schr?dinger equations of the form-△u+V(x)u-k△(u2)u=h(u),x∈N,here:V:RN→R,h:R→R are continuous function,and k>0.W,e establish the existence of the positive ground state solution by using Concentra.tion-Compactness lemma and Mountain pass theorem when h(u)does not satisfy A-R Condition.More-over.we give the estimate of the solution in the sense L∞.In the Section one.we mainly int.roduce the background of the thesis:and briefly present the main result of the paper.Moreover.we also introduce some useful lenmmas.Section two is aimed to prove theorem 1.1.In this Section,we prove that the cor-responding Energy function satisfies Mount.ain pass geometry and(PS)-Condition.The last Section devotes to prove the estimate of the ground state solution. |
