4 citations · 8 across the 5 of their papers we have counts for
6 papers
Local and global properties of p-Laplace Henon equation
Geyang Du, Shulin Zhou
We first give some apriori estimates of positive radial solutions of -Laplace Hénon equation. Then we study the local and global properties of those solutions. Finally, we gener…
Neumann Problems in Homogenization of General Elliptic Systems
Qiang Xu, Shulin Zhou
In this paper, we extend the nontangential maximal function estimate obtained by C. Kenig, F. Lin and Z. Shen in \cite{KFS1} to the nonhomogeneous elliptic operators with rapidly o…
The Methods of Layer Potentials for General Elliptic Homogenization Problems in Lipschitz Domains
Qiang Xu, Peihao Zhao, Shulin Zhou
In terms of layer potential methods, this paper is devoted to study the boundary value problems for nonhomogeneous elliptic operators with rapidly oscillating coefficients in…
Renormalized and entropy solutions for the fractional p-Laplacian parabolic equation with L^1 data
Kaimin Teng, Chao Zhang, Shulin Zhou
In this paper we introduce a natural function class and prove the existence and uniqueness of both nonnegative renormalized solutions and entropy solutions for the fractional p-Lap…
Quantitative Estimates in Homogenization of Parabolic Systems of Elasticity in Lipschitz Cylinders
Qiang Xu, Shulin Zhou
In a Lipschitz cylinder, this paper is devoted to establish an almost sharp error estimate in -norm for parabolic systems of elasticity w…
Commutator Estimates for the Dirichlet-to-Neumann Map of Stokes Systems in Lipschitz Domains
Qiang Xu, Weiren Zhao, Shulin Zhou
In the paper, we establish commutator estimates for the Dirichlet-to-Neumann map of Stokes systems in Lipschitz domains. The approach is based on Dahlberg's bilinear estimates, and…