Existence of Solutions to Elliptic Equation with Exponential Nonlinearities and Singular Term

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Singular Trudinger-Moser inequality Mountain-pass theorem exponential growth
• 年，卷（期）: 2019,（2）
• 页码范围: 156-170
• 页数: 15页
• 分类号: O175.25
• 语种: 英文
• DOI: 10.4208/jpde.v32.n2.5

摘要

In this paper,we consider an elliptic equation with exponential nonlinearities and singular term.By constructing the corresponding variational framework,and using a Singular Trudinger-Moser inequality due to Li,Mountain-pass theorem and the Ekeland's variational principle,we get a nontrivial positive weak solution.