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
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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.