Author(s)

Yuqi Wang, Die Wang, Shaoxiong Chen^*

Department of Mathematics, Yunnan Normal University, Kunming, China.

In this paper, we study the following Schrödinger-Kirchhoff equation where V(x) ≥ 0 and vanishes on an open set of R² and f has critical exponential growth. By using a version of Trudinger-Moser inequality and variational methods, we obtain the existence of ground state solutions for this problem.

Schrödinger-Kirchhoff Equations, Critical Exponential Growth, Ground State Solution, Degenerate Potential

Wang, Y. , Wang, D. and Chen, S. (2023) The Existence of Ground State Solutions for Schrödinger-Kirchhoff Equations Involving the Potential without a Positive Lower Bound. Journal of Applied Mathematics and Physics, 11, 790-803. doi: 10.4236/jamp.2023.113053.