Showing math.APShow all
2 papers · 1 filter
math.AP2024
Existence of infinitely many solutions for a critical Hartree type equation with potential: local Pohožaev identities methods
Daniele Cassani, Minbo Yang, Xinyun Zhang
This paper deals with the following equation $$-Δu =K(|x'|, x'')\Big(|x|^{-α}\ast (K(|x'|, x'')|u|^{2^{\ast}_α})\Big) |u|^{2^{\ast}_α-2}u\quad\mbox{in}\ \mathbb{R}^N,$$ where $N\ge…
math.AP2023
Nondegeneracy of positive solutions for a biharmonic hartree equation and its applications
Xinyun Zhang, Weiwei Ye, Minbo Yang
In this paper, we are interested in some problems related to the following biharmonic hartree equation \begin{equation*} Δ^{2} u=(|x|^{-α}\ast |u|^{p})u^{p-1},\sp \text{in}\quad\R^…