Stable solutions and finite Morse index solutions of nonlinear elliptic equations with Hardy potential

2013/03/21 by Jeong, Wonjeong, Lee, Youngae
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1303.5149

Abstract

We are concerned with Liouville-type results of stable solutions and finite Morse index solutions for the following nonlinear elliptic equation with Hardy potential: Δu+\dfracμ|x|²u+|x|^l |u|^p-1u=0 \textrmin Ω, where Ω=\RN, \RN∖\0\ for N≥3, p>1, l>-2 and μ

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