Structure of multiple solutions for nonlinear differential equations

• 作 者: CHEN Chuanmiao XIE Ziqing
• 机 构: InstituteofComputation
• 出 处: 中国科学：数学英文版
• 发表日期: 2004年z1期
• 关键词: nonlinear problem multiple solutions search-extension method structure conje
• 基金项目: This work was supported by the Special Funds of State Major Basic Research Projects(Grant No. G1999032804), the National Natural Science Foundation of China (Grant No. 19871027) and Mathematical Tiany

Based on the eigensystem {λj,φjof -Δ, the multiple solutions for nonlinear problem Δu+f(u)=0 in Ω,u=0 onαΩ are approximated. A new search-extension method (SEM), which consists of three steps in three level subspaces, is proposed. Numerical simulations fo