20 citations · 110 across the 70 of their papers we have counts for
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On semi-linear elliptic equation arising from Micro-Electromechanical Systems with contacting elastic membrane
Huyuan Chen, Ying Wang, Feng Zhou
This paper is concerned with the nonlinear elliptic problem on a bounded domain of with Dirichlet boundary conditions. This problem arise…
Classification of isolated singularities of positive solutions for Choquard equations
Huyuan Chen, Feng Zhou
In this paper we classify the isolated singularities of positive solutions to Choquard equation and prove the existence of isolated singular solutions.
Classification of isolated singularities of nonnegative solutions to fractional semi-linear elliptic equations and the existence results
Huyuan Chen, Alexander Quaas
In this paper, we classify the singularities of nonnegative solutions to fractional elliptic equation \begin{equation}\label{eq 0.1} \arraycolsep=1pt \begin{array}{lll} \displaysty…
Weak solutions of semilinear elliptic equation involving Dirac mass
Huyuan Chen, Patricio Felmer, Jianfu Yang
In this paper, we study the following elliptic problem with Dirac mass \begin{equation}\label{eq 0.1} -Δu=Vu^p+k δ_0\quad {\rm in}\quad \mathbb{R}^N, \qquad \lim_{|x|\to+\infty}u(x…
The Dirichlet elliptic problem involving regional fractional Laplacian
Huyuan Chen
In this paper, we consider the solutions for elliptic equations involving regional fractional Laplacian \begin{equation}\label{0} \arraycolsep=1pt \begin{array}{lll} \displaystyle…
Boundary blow-up solutions to fractional elliptic equations in a measure framework
Huyuan Chen, Hichem Hajaiej, Ying Wang
Let , be a bounded open domain in () with boundary and be the Hausdorff measure on . We denote by $\frac{\partial^αω}{…