20 citations · 110 across the 70 of their papers we have counts for
73 papers
The fractional Fisher-KPP equation with free boundaries
Huyuan Chen, Yihong Du, Wenjie Ni
In this paper, we consider a free boundary problem with fractional diffusion , as a model for species spreading, which can be viewed as a natural extension of the…
Sharp Lifespan Dichotomies and Threshold Phenomena for Semilinear Heat Equations Driven by the Logarithmic Laplacian
Huyuan Chen, Rui Chen, Daniel Hauer +1
We investigate nonnegative mild solutions of in , with initial datum , . Unlike the classical and frac…
Maximal hypersurfaces with prescribed light-like cones in Lorentz-Minkowski space
Huyuan Chen, Ying Wang, Feng Zhou
The purpose in this paper is to study the maximal hypersurfaces with multiple light-cones in Lorentz-Minkowski space by considering the weak solutions to the mean curvature equatio…
The Conformal Fractional--Logarithmic Laplacian on the Sphere: Yamabe Problems and Sharp Inequalities
Huyuan Chen, Rui Chen, Daniel Hauer
In this paper, we introduce the conformal fractional--logarithmic Laplacian on the unit sphere, defined as the derivative of the conformal fractional Laplacian with respect to the…
Existence and nonexistence of solutions for fractional elliptic equations arising from closed MEMS model
Huyuan Chen, Jialei Jiang, Jun Wang
The objective of our paper is to investigate fractional elliptic equations of the form within a bounded domain , subject to zero Dirichlet boundary…
The Fractional-Logarithmic Laplacian: Fundamental Properties and Eigenvalues
Huyuan Chen, Rui Chen, Daniel Hauer
In this paper, we introduce the fractional--logarithmic Laplacian \( (-Δ)^{s+\log} \), defined as the derivative of the fractional Laplacian \( (-Δ)^t \) at \(t=s\). It is a singul…