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Existence, Stability and Oscillation Properties of Slow-Decay Positive Solutions of Supercritical Elliptic Equations with Hardy Potential
Published online by Cambridge University Press: 16 April 2014
Abstract
We prove the existence of a family of slow-decay positive solutions of a supercritical elliptic equation with Hardy potential
and study the stability and oscillation properties of these solutions. We also show that if the equation on ℝN has a stable slow-decay positive solution, then for any smooth compact K ⊂ ℝN a family of the exterior Dirichlet problems in ℝN \ K admits a continuum of stable slow-decay infinite-energy solutions.
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- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 58 , Issue 1 , February 2015 , pp. 255 - 271
- Copyright
- Copyright © Edinburgh Mathematical Society 2015
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