TITLE:
The Existence of Ground State Solutions for Schrödinger-Kirchhoff Equations Involving the Potential without a Positive Lower Bound
AUTHORS:
Yuqi Wang, Die Wang, Shaoxiong Chen
KEYWORDS:
Schrödinger-Kirchhoff Equations, Critical Exponential Growth, Ground State Solution, Degenerate Potential
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.3,
March
28,
2023
ABSTRACT: 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.