一类次线性薛定谔基尔霍夫泊松方程解的存在性和集中行为

Existence and Concentration of Solutions to an Sublinear Schrodinger-Kirchhoff-Poisson System

研究了一类具有陡势阱的薛定谔基尔霍夫泊松方程.当势能V(x)允许等于0,且非线性项f(x,u)是一个更一般的次线性函数时,利用临界点理论获得了该方程的非平凡解的存在性.更进一步,探索了参数λ足够大时解的集中现象.

We investigated a class of sublinear Schrodinger-Kirchhoff-Poisson system with indefinite steep potential well.Unlike most other papers on this problem,we allowed that V(c)was equal to zero and sublinear function f(c,u)was more general.Using the critical point theory,we obtained the existence of nontrivial solutions and explored the phenomenon of concentration of solutions for^sufficiently large.