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Publicly Available Published by De Gruyter March 10, 2016

On Uniqueness of Positive Solutions of Semilinear Elliptic Equations with Singular Potential

  • Manuela Chaves and Jesús García-Azorero

Abstract

We prove the uniqueness of positive W01,2 solutions for the following problem, which involves the singular potential |x|-2 :

where N ≥ 3, 1 < p < , and 0 < λ < . We also give a complete description of the set of positive singular solutions of the problem.

Received: 2003-02-13
Published Online: 2016-03-10
Published in Print: 2003-05-01

© 2016 by Advanced Nonlinear Studies, Inc.

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