The Existence of Solution of a Critical Fractional Equation

• 作者: Hui Chen
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: VARIATIONAL Approach FRACTIONAL LAPLACIAN MINIMAX Principle GENUS
• 年，卷（期）: 2019,（1）
• 页码范围: 243-253
• 页数: 11页
• 分类号: O1

摘要

In this paper, we study the existence of solution of a critical fractional equation;we will use a variational approach to find the solution. Firstly, we will find a suitable functional to our problem;next, by using the classical concept and properties of the genus, we construct a mini-max class of critical points.