EXISTENCE, MULTIPLICITY AND BIFURCATION FOR CRITICAL POLYHARMONIC EQUATIONS

作     者：XUAN Benjin CHEN Zuchi (Department of Mathematics, University of Science and Technology of China, Hefei 230026, China) 

作者机构：中国科学技术大学数学系 安徽 合肥 

出 版 物：《Systems Science and Mathematical Sciences》 (系统科学与复杂性学报(英文版))

年 卷 期：1999年第12卷第1期

页      面：59-69页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Critical Sobolev exponent critical point mountain pass theorem (PS)c condition. 

摘      要：This paper is concerned with the nonexistence and existence, multiplicity and bifurcation of solutions for critical semilinear polyharmonic equations. Following the ideas due to Brezis and Nirenberg[1], we obtain the extensions of [1] and partially confirm Pucci and Serrin[2] conjecture; by employing the abstract critical point theorem, the multiple results and bifurcation for the problem are obtained.