Asymptotic behaviors of low energy nodal solutions for Lane-Emden problems.

par Zetao Cheng (Tsinghua University)

mardi 16 janv. 2024, 14:00 → 16:15 Europe/Paris

Fokko (ICJ)

In this talk, I will introduce our recent work about asymptotic behaviors of low energy nodal solutions for Lane-Emden equations when the exponent goes to infinity. Asymptotic behaviors of positive solutions have been studied well, but asymptotic behaviors of nodal solutions is more delicate and not much is known. Here we can obtain some results for low energy nodal solutions. The biharmonic case will also be considered. This is based on joint work with Prof.Zhijie Chen and Hanqing Zhao.