2 papers
math.AP2023
Sharp estimates and non-degeneracy of low energy nodal solutions for the Lane-Emden equation in dimension two
Zhijie Chen, Zetao Cheng, Hanqing Zhao
We study the Lane-Emden problem \[\begin{cases} -Δu_p =|u_p|^{p-1}u_p&\text{in}\quad Ω, u_p=0 &\text{on}\quad\partialΩ, \end{cases}\] where is a smooth bounde…
math.AP2023
Asymptotic behavior of least energy nodal solutions for biharmonic Lane-Emden problems in dimension four
Zhijie Chen, Zetao Cheng, Hanqing Zhao
In this paper, we study the asymptotic behavior of least energy nodal solutions to the following fourth-order elliptic problem \[ \begin{cases} Δ^2 u =|u|^{p-1}u \quad &\h…