MULTIPLE AND SIGN-CHANGING SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATION WITH CRITICAL POTENTIAL AND CR

• 作 者: 王友军 沈尧天
• 机 构: SchoolofMathematicalSciences
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2010年1期
• 关键词: 非线性椭圆型方程 临界参数 SOBOLEV空间 HARDY空间 多重 电子工程 公告 法律 nonlinear elliptic equation critic
• 基金项目: Project supported by the National Science Foundation of China （10471047） and the Natural Science Foundation of Guangdong Province （04020077）.

Some embedding inequalities in Hardy-Sobolev space are proved.Furthermore,by the improved inequalities and the linking theorem,in a new k-order Sobolev-Hardy space,we obtain the existence of sign-changing solutions for the nonlinear elliptic equation {-△(