Nonlinear elliptic equations with critical potential and critical parameter
Published online by Cambridge University Press: 12 July 2007
Abstract
We give a positive answer to an open problem about Hardy's inequality raised by Brézis and Vázquez, and another result obtained improves that of Vázquez 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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 136 , Issue 5 , October 2006 , pp. 1041 - 1051
- Copyright
- Copyright © Royal Society of Edinburgh 2006
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