activity
20172022
most citedIsolated singularities for elliptic equations with Hardy operator and source nonlinearity

1 citations · 1 across the 4 of their papers we have counts for

collaborators

11 papers

math.AP2021

Nonlinear Potential Estimates for Generalized Stokes System

Lingwei Ma, Zhenqiu Zhang, Feng Zhou

In this paper, we consider the generalized stationary Stokes system with -growth and Dini- regular coefficients. The main purpose is to establish pointwise e…

math.AP2021

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…

math.AP2021

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…

math.AP2020

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.…

math.AP2019

Singular Behavior of an Electrostatic--Elastic Membrane System with an External Pressure

Yujin Guo, Yanyan Zhang, Feng Zhou

We analyze nonnegative solutions of the nonlinear elliptic problem , where and , on a bounded domain of () with a…

math.AP2018

On Gaussian curvature equations in with prescribed non-positive curvature

Huyuan Chen, Feng Zhou, Dong Ye

The purpose of this paper is to study the solutions of with . We introduce the following quantity: $$α_p(K)=\sup\left…