Seminar: Absence of stable solutions of quasi-linear elliptic equations on locally finite graphs

Thời gian: 14:00 đến 15:00 Ngày 13/11/2025

Địa điểm: Phòng C101, VIASM

Báo cáo viên: Duong Anh Tuan, Hanoi University of Science and Technology

Tóm tắt: Inspired by the recent result on Riemannian manifolds [Monticelli, D. D.; Punzo, F.; Sciunzi, B. Noneristence of stable solutions to quasi-linear elliptic equations on Riemannian manifolds. J. Geom. Anal. 27 (2017), no. 4, 3030-3050.], in this talk, we discuss a non-existence result of stable positive solutions of the quasi-linear elliptic equation with potential on locally finite graphs. This seems to be the first result classifying stable solutions of elliptic equations on graphs. This is a joint work with Setsuro Fujiié.