%0 Journal Article
%T The Existence of Ground State Solutions for Schrödinger-Kirchhoff Equations Involving the Potential without a Positive Lower Bound
%A Yuqi Wang
%A Die Wang
%A Shaoxiong Chen
%J Journal of Applied Mathematics and Physics
%P 790-803
%@ 2327-4379
%D 2023
%I Scientific Research Publishing
%R 10.4236/jamp.2023.113053
%X In this paper, we study the following Schr&amp;#246;dinger-Kirchhoff equation <img src=\"Edit_d436cc2e-c791-4f4e-a9eb-27a3b7673767.bmp\" alt=\"\" /> where <em>V</em>(<em>x</em>) ¡Ý 0 and vanishes on an open set of R<sup>2</sup> and <em>f</em> 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.
%K Schr&amp
%K #246
%K dinger-Kirchhoff Equations
%K Critical Exponential Growth
%K Ground State Solution
%K Degenerate Potential
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=123912