一类具有扰动项的泛函非平凡临界点的存在性

Existence of Nontrival Critical Points for a Class of Functionals with Perturbation Terms

本文主要应用Lions引理,研究一类具有扰动项的泛函φ(u)=1/2‖u‖2-∫kV(x,u(x))dx-∫kg(x)u(x)dx非平凡临界点的存在性.

The existence of nontrival critical points for a class of functionals φ(u)=1/2‖u‖2-∫RkV(x,u(x))dx-∫Rkg(x)u(x)dx with perturbation terms is studied by Lions Theorem.