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arXiv · 1108.4668

Existence, stability and oscillation properties of slow decay positive solutions of supercritical elliptic equations with Hardy potential

Vitaly Moroz·Jean Van Schaftingen
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Abstract

We prove the existence of a family of slow decay positive solutions of a supercritical elliptic equation with Hardy potential in the entire space and study stability and oscillation properties of these solutions. We also establish the existence of a continuum of stable slow decay positive solutions for the relevant exterior Dirichlet problem.

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Vitaly Moroz, Jean Van Schaftingen. 2011-08-23. Existence, stability and oscillation properties of slow decay positive solutions of supercritical elliptic equations with Hardy potential. https://doi.org/10.1017/s0013091513000588

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