双相问题基态解的存在性

Existence of Ground State Solution of Double Phase Problem

本文在全空间RN上研究了具有一般非线性项双相问题的基态解。利用变分法和单调性技巧,得到了双相问题在Berestycki-Lions条件下具有非平凡径向对称的基态解。

We study a double phase problem with a general nonlinear term satisfying the Berestycki-Lions condition in RN. Based on the Monotonicity trick and variational method, we are going to prove the existence of a nontrivial radial ground state solution for this problem.