20 citations · 110 across the 70 of their papers we have counts for
7 papers · 1 filter
Existence of solutions to elliptic equations involving regional fractional Laplacian with order
Huyuan Chen, Huihuan Peng, Yanqing Sun
Our purpose of this paper is to investigate positive solutions of the elliptic equation with regional fractional Laplacian $$ ( - Δ)_{B_1}^s u +u= h(x,u) \quad {\rm in} \ \, B_1,\q…
Poisson Problems involving fractional Hardy operators and measures
H. Chen, K. T. Gkikas, P. T. Nguyen
In this paper, we study the Poisson problem involving a fractional Hardy operator and a measure source. The complex interplay between the nonlocal nature of the operator, the pecul…
On semilinear elliptic equation with negative exponent arising from a closed MEMS model
Huyuan Chen, Ying Wang, Feng Zhou
This paper is concerned with the elliptic equation in a connected, bounded domain of subject to zero Dirichlet boundary conditions,…
Qualitative properties for elliptic problems with CKN operators
Huyuan Chen, Yishan Zheng
The purpose of this paper is to study basic property of the operator which generates at the origi…
Singularities of fractional Emden's equations via Caffarelli-Silvestre extension
Huyuan Chen, Laurent Véron
We study the isolated singularities of functions satisfying (E) (--) s v|v| p--1 v = 0 in \{0}, v = 0 in R N $ΩΩ$ is a bounded domain con…
Isolated singularities for fractional Lane-Emden equations in the Serrin's supercritical case
Huyuan Chen, Feng Zhou
In this paper, we give a classification of the isolated singularities of positive solutions to the semilinear fractional elliptic equations $$(E) \quad\quad (-Δ)^s u = |x|^θ u^{p}\…