Mei Yu

collaborators

3 papers

math.AP2025

Existence, Nonexistence, and Symmetry of Positive Solutions for Fractional Laplacian Problems

Haipeng Lu, Mei Yu

This paper studies the properties of solutions to a class of elliptic and parabolic problems involving the fractional Laplacian. By applying the mountain pass theorem, we prove the…

math.AP2016

A Liouville Theorem for a Class of Fractional Systems in $R_{+}^{n}$

Lizhi Zhang, Mei Yu, Jianming He

Let $0 < α, β < 2$ be any real number. In this paper, we investigate the following semilinear system involving the fractional Laplacian \begin{equation*} \left\{\begin{array}{lll} (-\la…

math.AP2016

Solutions of Fully Nonlinear Nonlocal Systems

Pengyan Wang, Mei Yu

In this paper we consider the system involving fully nonlinear nonlocal operators: $$ \left\{ \begin{array}{ll} F_α(u(x)) = C_{n,α} PV \int_{{R}^n} \frac{G(u(x)-u(y))}{|x-y|^{n+α}}…

Existence, Nonexistence, and Symmetry of Positive Solutions for Fractional Laplacian Problems

A Liouville Theorem for a Class of Fractional Systems in R+n​

Solutions of Fully Nonlinear Nonlocal Systems

A Liouville Theorem for a Class of Fractional Systems in $R_{+}^{n}$