Nonlinear biharmonic equations with Hardy potential and critical parameter

作者：Wang, Youjun^*; Shen, Yaotan

来源：Journal of Mathematical Analysis and Applications, 2009, 355(2): 649-660.

DOI：10.1016/j.jmaa.2009.01.076

• Hardy potential
• Critical parameter
• Cerami condition

Some embedding inequalities in Hardy-Sobolev spaces with weighted function vertical bar x vertical bar(alpha) are proved. The procedure is based on decomposition into spherical harmonics, where in addition various new inequalities are obtained. Next, we study the existence of nontrivial solutions of biharmonic equations with Hardy potential and critical parameter.

• 出版日期2009-7-15
• 单位华南理工大学