3 papers
math.AP2024
Co-existence of Type II blow-ups with multiple blow-up rates for five-dimensional heat equation with critical nonlinear boundary conditions
Juncheng Wei, Zikai Ye, Xiaoyu Zeng +1
We consider the following five-dimensional heat equation with critical boundary condition \begin{equation*} \partial_t u=Δu \mbox{ \ in \ } \mathbb{R}_+^5\times (0,T) , \quad -\par…
math.AP2024
Infinitely many solutions for a class of fractional Schrodinger equations coupled with neutral scalar field
Liejun Shen, Marco Squassina, Xiaoyu Zeng
We study the fractional Schrödinger equations coupled with a neutral scalar field $$ (-Δ)^s u+V(x)u=K(x)ϕu +g(x)|u|^{q-2}u, \quad x\in \mathbb{R}^3,\qquad (I-Δ)^t ϕ=K(x)u^2, \quad…
math.AP2021
Asymptotic behavior of least energy solutions for a fractional Laplacian eigenvalue problem on
Yunbo Wang, Xiaoyu Zeng, Huan-Song Zhou
We are interested in the existence and asymptotical behavior for the least energy solutions of the following fractional eigenvalue problem \begin{equation*} (P)\quad (-Δ)^{s}u+V(x)…