This paper and  treat the existence and nonexistence of stable (resp. outside stable) weak solutions to a fractional Hardy-Henon equation (-Δ)su = jxj'jujp-1u in RN, where 0 < s < 1, ' > -2s, p > 1, N ≥ 1 and N > 2s. In this paper, the nonexistence part is proved for the Joseph-Lundgren subcritical case.
- Fractional Hardy-Henon equation
- Liouville type theorem
- Stable (stable outside a compact set) solutions
ASJC Scopus subject areas
- Applied Mathematics