20 citations · 110 across the 70 of their papers we have counts for
7 papers · 1 filter
Initial trace of positive solutions to fractional diffusion equation with absorption
Huyuan Chen, Laurent Veron
In this paper, we prove the existence of an initial trace T u of any positive solution u of the semilinear fractional diffusion equation (H) t u + (--) u + f (t,…
The Dirichlet Problem for the Logarithmic Laplacian
Huyuan Chen, Tobias Weth
In this paper, we study the logarithmic Laplacian operator , which is a singular integral operator with symbol . We show that this operator has the integral represe…
On isolated singularities of Kirchhoff--type Laplacian problems
Huyuan Chen, Mouhamed Moustapha Fall, Binlin Zhang
In this paper, we study isolated singular positive solutions for the following Kirchhoff--type Laplacian problem: \begin{equation*} -\left(θ+\int_Ω |\nabla u| dx\right)Δu =u^p \qua…
Isolated singularities for elliptic equations with Hardy operator and source nonlinearity
Huyuan Chen, Feng Zhou
In this paper, we concern the isolated singular solutions for semi-linear elliptic equations involving the Hardy-Leray potentials \begin{equation}\label{0} -Δu+\fracμ{|x|^2} u=u^p\…
On nonhomogeneous elliptic equations with the Hardy-Leray potentials
Huyuan Chen, Alexander Quaas, Feng Zhou
In this paper, we present some suitable distributional identities of the solutions for nonhomogeneous elliptic equations involving the Hardy-Leray potentials and study qualitative…
Anisotropic singularities to semilienar elliptic equations in a measure framework
Huyuan Chen
The purpose of this article is to study very weak solutions of elliptic equation $$ -Δu+g(u)=2k\frac{\partial δ_0}{\partial x_N }+jδ_0\quad {\rm in}\quad\ \ B_1(0),\qquad u=0\quad…