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

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

2011-08-23

arxiv.org/abs/1108.4668v1

Mathematics

Analysis of PDEs

Scientific paper

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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