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September/October 2014 Uniqueness of positive solutions with critical exponent and inverse square potential
Sanjiban Santra
Adv. Differential Equations 19(9/10): 879-910 (September/October 2014).

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

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Sanjiban Santra. "Uniqueness of positive solutions with critical exponent and inverse square potential." Adv. Differential Equations 19 (9/10) 879 - 910, September/October 2014.

Information

Published: September/October 2014
First available in Project Euclid: 1 July 2014

zbMATH: 1311.35076
MathSciNet: MR3229601

Subjects:
Primary: 35J10, 35J35, 35J65

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.19 • No. 9/10 • September/October 2014
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