Article citationsMore>>
do ó, J.M., de Souza, M., Medeiros, E. and Severo, U. (2014) An Improvement for the Trudinger-Moser Inequality and Applications. Journal of Differential Equations, 256, 1317-1329.
https://doi.org/10.1016/j.jde.2013.10.016
has been cited by the following article:
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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.