8 citations · 21 across the 39 of their papers we have counts for
7 papers · 2 filters
On the bounds of the sum of eigenvalues for a Dirichlet problem involving mixed fractional Laplacians
Huyuan Chen, Mousomi Bhakta, Hichem Hajaiej
In this paper, we show the existence of a sequence of eigenvalues for a Dirichlet problem involving two mixed fractional operators with different orders. We provide lower and upper…
Positive supersolutions for the Lane-Emden system with inverse-square potentials
Huyuan Chen, Vicentiu D. Radulescu, Binlin Zhang
In this paper, we study the nonexistence of positive supersolutions for the following Lane-Emden system with inverse-square potentials \begin{equation}\label{0} \left\{ \begin{arra…
Bounds for eigenvalues of the Dirichlet problem for the logarithmic Laplacian
Huyuan Chen, Laurent Veron
We provide bounds for the sequence of eigenvalues of the Dirichlet problem wher…
The Poisson problem for the fractional Hardy operator: Distributional identities and singular solutions
Huyuan Chen, Tobias Weth
The purpose of this paper is to study and classify singular solutions of the Poisson problem $$ %\begin{equation}\label{eq 0.1} \left \{ \begin{aligned} {\mathcal L}^s_μu = f \quad…
Liouville theorems for elliptic equations involving regional fractional Laplacian with order in
Huyuan Chen, Yuanhong Wei
In this paper, some elliptic equation in a bounded open domain in () with boundary is considered. The problem is driven by the regional fr…
Solutions of nonhomogeneous equations involving Hardy potentials with singularities on the boundary
Huyuan Chen, Axander Quaas, Feng Zhou
In this paper, we present a new distributional identity for the solutions of elliptic equations involving Hardy potentials with singularities located on the boundary of the domain.…