5 citations · 11 across the 5 of their papers we have counts for
5 papers
Liouville Type Theorem for Some Nonlocal Elliptic Equations
Xiaohui Yu
In this paper, we prove some Liouville theorem for the following elliptic equations involving nonlocal nonlinearity and nonlocal boundary value condition $$ \left\{ \begin{array}{l…
Equations involving fractional Laplacian operator: Compactness and application
Shusen Yan, Jianfu Yang, Xiaohui Yu
In this paper, we consider the following problem involving fractional Laplacian operator: \begin{equation}\label{eq:0.1} (-Δ)^α u= |u|^{2^*_α-2-\varepsilon}u + λu\,\, {\rm in}\,\,…
Fractional Hardy-Sobolev elliptic problems
Jianfu Yang, Xiaohui Yu
In this paper, we study the following singular nonlinear elliptic problem \begin{equation}\label{eq:1} \left\{ \begin{array}{ll} \displaystyle (-Δ)^{\frac α2} u=λ|u|^{r-2}u+μ\frac{…
Liouville Type Theorems for Two Mixed Boundary Value Problems with General Nonlinearities
Xiaohui Yu
In this paper, we study the nonexistence of positive solutions for the following two mixed boundary value problems. The first problem is the mixed nonlinear-Neumann boundary value…
Existence results for superlinear elliptic equations with nonlinear boundary value conditions
Xiaohui Yu
In this paper, we study the existence of solutions for the following superlinear elliptic equation with nonlinear boundary value condition $$ \left\{ \begin{array}{ll} -Δu+u=|u|^{r…