Nonlinear elliptic equations with critical potential and critical parameter

作者：Shen Yao Tian^*; Yao Yang Xin

来源：Proceedings of the Royal Society of Edinburgh: Section A Mathematics , 2006, 136(5): 1041-1051.

DOI：10.1017/S030821050000487X

We give a positive answer to an open problem about Hardy's inequality raised by Brezis and Vazquez, and another result obtained improves that of Vazquez and Zuazua. Furthermore, by this improved inequality and the critical-point theory, in a k-order Sobolev-Hardy space, we obtain the existence of multi-solution to a nonlinear elliptic equation with critical potential and critical parameter.

• 出版日期2006
• 单位华南理工大学