Nonlinear biharmonic problem with critical potential and indefinite potential

作者：Zhang, Yi-Min^*; Shen, Yao-Tian

来源：Journal of South China University of Technology(Natural Science Edition), 2009, 37(7): 142-146.

• Biharmonic problem
• Critical potential
• Eigen-value
• Hardy inequality
• Nontrivial solution
• Subcritical growth

This paper deals with a class of nonlinear biharmonic problem with critical potential and indefinite potential in R4. In the investigation, the exponent in critical potential is proved optimal, and the existence of the nontrivial solution is proved by using an optimal Hardy inequality and the character of the first eigenvalue.

• 出版日期2009-7
• 单位华南理工大学