Existence of a ground state solution for a class of singular elliptic problem in \(\mathbb{R}^{N}\)

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• 作者：Yanjun Liu
• 关键词：singular term ; exponential subcritical growth ; lack of compactness ; Trudinger ; Moser inequality
• 刊名：Boundary Value Problems
• 出版年：2017
• 出版时间：December 2017
• 年：2017
• 卷：2017
• 期：1
• 全文大小：1592KB
• 刊物主题：Difference and Functional Equations; Ordinary Differential Equations; Partial Differential Equations; Analysis; Approximations and Expansions; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1687-2770
• 卷排序：2017

文摘

In this paper, we prove the existence of a ground state solution for a quasi-linear singular elliptic equation in \(\mathbb{R}^{N}\) with exponential growth by using the mountain-pass theorem and the Vitali convergence theorem.