8 citations · 14 across the 13 of their papers we have counts for
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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 $$(E) \quad\quad (-Δ)^s u = |x|^θ u^{p}\…
On isolated singular solutions of semilinear Helmholtz equation
Huyuan Chen, Feng Zhou
Our purpose of this paper is to study isolated singular solutions of semilinear Helmholtz equation $$ -Δu-u=Q|u|^{p-1}u \quad{\rm in}\ \ \mathbb{R}^N\setminus\{0\},\ \qquad\lim_{|x…
Bounds of Dirichlet eigenvalues for Hardy-Leray operator
Huyuan Chen, Feng Zhou
The purpose of this paper is to study the eigenvalues for the Dirichlet Hardy-Leray operator, i.e. $$ -Δu+μ|x|^{-2}u=λu\ \ {\rm in}\ \, Ω,\quad\quad u=0\ \ {\rm on…
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…