Existence, stability and oscillation properties of slow decay positive solutions of supercritical elliptic equations with Hardy potential
arXiv:1108.4668 · doi:10.1017/S0013091513000588
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.