ON THE EXISTENCE OF POSITIVE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM

• 作 者: LIU Zhaoli LI Fuyi
• 机 构: Department of Mathematics
• 出 处: 数学年刊B辑
• 发表日期: 2004年期
• 关键词: Superlinear elliptic BVP Positive solution Variational method Gradient flow
• 基金项目: 国家自然科学基金

Using variational method, the authors get an existence result for positive solutions of a superlinear elliptic boundary value problem without assuming the P.S. condition. To prove the results in this paper, the authors adopt the method of gradient flow and use a new class of truncation functions.