Advances in Differential Equations
- Adv. Differential Equations
- Volume 19, Number 9/10 (2014), 879-910.
Uniqueness of positive solutions with critical exponent and inverse square potential
We obtain the local uniqueness of positive solution for equation with inverse square terms in a smooth bounded domain. This is done by analyzing the Green function and the blow up profile of positive solution of some critical exponent problems with Hardy potential in a smooth bounded domain. We also determine the critical constant of the blow up behavior. This extends the result of Grossi  and Cerqueti  and Cao-Peng  to singular operators.
Adv. Differential Equations Volume 19, Number 9/10 (2014), 879-910.
First available in Project Euclid: 1 July 2014
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Santra, Sanjiban. Uniqueness of positive solutions with critical exponent and inverse square potential. Adv. Differential Equations 19 (2014), no. 9/10, 879--910. https://projecteuclid.org/euclid.ade/1404230127