Speaker: Associate Professor Quoc Anh Ngo, VNU University of Science, Vietnam National University, Hanoi

Title: A new application of the Fazly-Wei-Xu pointwise inequality

Language: English

Time & Venue: 2026.10.26 13:50–14:50 科技综合楼（蓝白楼）Z301

Abstract: Of interest in this talk is the asymptotic behavior of non-negative, radial solutions to the fourth-order critical Hardy-Hénon equation with the weight |x|^σ. In an earlier work published in Rend. Lincei Mat. Appl., R.L. Frank and T. König (2019) showed that solutions must decay fast as that of the fundamental solution of the biLaplace equation. Previously, this result was known when σ=0 as a consequence of the classification results obtained by C.S. Lin in Comment. Math. Helv. and by X. Xu in Proc. Roy. Soc. Edinburgh Sect. A. In this talk, I present the same result for any σ>0. Our key ingredient is the Fazly-Wei-Xu pointwise inequality. To the best of our knowledge, this is the first direct application of this intriguing inequality.