8 citations · 20 across the 8 of their papers we have counts for
9 papers
Mean curvature type flow and sharp Micheal-Simon inequalities
J. Cui, P. Zhao
In this paper, we first investigate a new locally constrained mean curvature flow (1.5) and prove that if the initial hypersurface is of smoothly compact starshaped, then the solut…
suboptimal error estimates for homogenization of linear elasticity systems on perforated domains
Li Wang, Qiang Xu, Peihao Zhao
In the present work, we established almost-sharp error estimates for linear elasticity systems in periodically perforated domains. The first result was -error…
Quantitative estimates for homogenization of nonlinear elliptic operators in perforated domains
Li Wang, Qiang Xu, Peihao Zhao
This paper was devoted to study the quantitative homogenization problems for nonlinear elliptic operators in perforated domains. We obtained a sharp error estimate …
Local Morrey estimate in Musielak-Orlicz-Sobolev space
Duchao Liu, Peihao Zhao
Under appropriate assumptions on the -fucntion, Morrey estimate is presented in the Musielak-Orlicz-Sobolev space.The assumptions include a new increasing condition on the $x…
Semiclassical states of a linearly coupled critical fractional Schrödinger system
Shijie Qi, Peihao Zhao
This paper focuses on the linearly coupled critical fractional Schrödinger system \begin{equation*} \begin{cases} ε^{2s}(-\triangle)^s u +a(x)u=u^p+λv\quad &\text{in}\ \mathbb{R}^N…
Convergence rates on periodic homogenization of p-Laplace type equations
Li Wang, Qiang Xu, Peihao Zhao
In this paper, we find some error estimates for periodic homogenization of p-Laplace type equations under the same structure assumption on homogenized equations. The main idea is t…
Quantitative Estimates on Periodic Homogenization of Nonlinear Elliptic Operators
Li Wang, Qiang Xu, Peihao Zhao
In this paper, we are interested in the periodic homogenization of quasilinear elliptic equations. We obtain error estimates for a domain, and $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…
Hölder continuity for nonlinear elliptic problem in Musielak-Orlicz-Sobolev space
Beibei Wang, Duchao Liu, Peihao Zhao
Under appropriate assumptions on the -fucntion, the De Giorgi process is presented in the framework of Musielak-Orlicz-Sobolev space to prove the Hölder continuity of fully n…