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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…