Abstract
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 [13] and Cerqueti [5] and Cao-Peng [3] to singular operators.
Citation
Sanjiban Santra. "Uniqueness of positive solutions with critical exponent and inverse square potential." Adv. Differential Equations 19 (9/10) 879 - 910, September/October 2014. https://doi.org/10.57262/ade/1404230127
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