Regularity of Solutions to an Integral Equation on a Half-Space <i>R<sub>+</sub><sup style="margin-left:-5px;margin-bottom:-2px;">n</sup></i>

• 作者: Linfen Cao Zhaohui Dai
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Regularity Lifting HLS Inequality Contracting OPERATORS Shrinking OPERATORS
• 年，卷（期）: 2013,（1）
• 页码范围: 153-158
• 页数: 6页
• 分类号: O1

摘要

In this paper, we discuss the integral equation on a half space R+n where is the reflection of the point x about the . We study the regularity for the positive solutions of (0.1). A regularity lifting method by contracting operators is used in proving the boundedness of solutions, and the Lipschitz continuity is derived by combinations of contracting and shrinking operators introduced by Ma-Chen-Li ([1]).