3 citations · 6 across the 4 of their papers we have counts for
10 papers
Doubling inequalities and nodal sets in periodic elliptic homogenization
Carlos E. Kenig, Jiuyi Zhu, Jinping Zhuge
We prove explicit doubling inequalities and obtain uniform upper bounds (under -dimensional Hausdorff measure) of nodal sets of weak solutions for a family of linear ellipti…
Regularity of a transmission problem and periodic homogenization
Jinping Zhuge
This paper is concerned with the regularity theory of a transmission problem arising in composite materials. We give a new self-contained proof for the estimates on both…
Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization
Shu Gu, Jinping Zhuge
In this paper, we systematically study the regularity theory of the linear system of nearly incompressible elasticity. In the setting of stochastic homogenization, we develop new t…
Regularity theory of elliptic systems in -scale flat domains
Jinping Zhuge
We consider the linear elliptic systems or equations in divergence form with periodically oscillating coefficients. We prove the large-scale boundary Lipschitz estimate for the wea…
Weak maximum principle for biharmonic equations in quasiconvex Lipschitz domains
Jinping Zhuge
In dimension two or three, the weak maximum principal for biharmonic equation is valid in any bounded Lipschitz domains. In higher dimensions (greater than three), it was only know…
Oscillatory integrals and periodic homogenization of Robin boundary value problems
Jun Geng, Jinping Zhuge
In this paper, we consider a family of second-order elliptic systems subject to a periodically oscillating Robin boundary condition. We establish the qualitative homogenization the…