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The Existence of Ground State Solutions for Schrödinger-Kirchhoff Equations Involving the Potential without a Positive Lower Bound

The Existence of Ground State Solutions for Schrödinger-Kirchhoff Equations Involving the Potential without a Positive Lower Bound
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摘要 In this paper, we study the following Schrödinger-Kirchhoff equation where V(x) ≥ 0 and vanishes on an open set of R<sup>2</sup> 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. In this paper, we study the following Schrödinger-Kirchhoff equation where V(x) ≥ 0 and vanishes on an open set of R<sup>2</sup> 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.
作者 Yuqi Wang Die Wang Shaoxiong Chen Yuqi Wang;Die Wang;Shaoxiong Chen(Department of Mathematics, Yunnan Normal University, Kunming, China)
出处 《Journal of Applied Mathematics and Physics》 2023年第3期790-803,共14页 应用数学与应用物理(英文)
关键词 Schrödinger-Kirchhoff Equations Critical Exponential Growth Ground State Solution Degenerate Potential Schrödinger-Kirchhoff Equations Critical Exponential Growth Ground State Solution Degenerate Potential
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