Degeneracy and Morse index for the critical quasi-linear Hénon equation

Speaker: Wei Dai, Professor, Beihang University

Inviter: 

Title: Degeneracy and Morse index for the critical quasi-linear Hénon equation

Time & Venue: 2026.10.23  14:00–15:00  思源楼S325

Abstract: In this talk, we study the linearized problem at radial solutions of the critical quasi-linear Hénon equation involving the p-Laplace operator. We characterize its kernel and identify the parameter values at which non-radial modes appear. Away from these values, the radial solutions are non-degenerate up to scaling. We also compute their Morse index and describe how it changes as the weight exponent varies.