Jinping Zhuge

activity

20162024

most citedBoundary Layers in Periodic Homogenization of Neumann Problems

5 citations · 8 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2024

Convergence rates of eigenvalue problems in perforated domains: the case of small volume

Zhongwei Shen, Jinping Zhuge

This paper is concerned with the Dirichlet eigenvalue problem for Laplace operator in a bounded domain with periodic perforation in the case of small volume. We obtain the optimal…

math.AP2024

The sharp estimate of nodal sets for Dirichlet Laplace eigenfunctions in polytopes

Yingying Cai, Jinping Zhuge

Let $P$ be a bounded $n$ -dimensional Lipschitz polytope, and let $φ_{λ}$ be a Dirichlet Laplace eigenfunction in $P$ corresponding to the eigenvalue $λ$ . We show that the $(n - 1)$ -dim…

math.AP2023★ 1 cited

Uniform regularity for degenerate elliptic equations in perforated domains

Zhongwei Shen, Jinping Zhuge

This paper is concerned with a class of degenerate elliptic equations with rapidly oscillating coefficients in periodically perforated domains, which arises in the study of spectru…

math.AP2023★ 1 cited

Spectral inequality for Schrödinger equations with power growth potentials

Jiuyi Zhu, Jinping Zhuge

We prove a spectral inequality for Schrödinger equations with power growth potentials, which particularly confirms a conjecture in \cite{DSV}. This spectral inequality depends on t…

math.AP2021

Compactness and stable regularity in multiscale homogenization

Weisheng Niu, Jinping Zhuge

In this paper we develop some new techniques to study the multiscale elliptic equations in the form of $- div (A_{ε} \nabla u_{ε}) = 0$ , where $A_\…

math.AP2016★ 1 cited

Homogenization and boundary layers in domains of finite type

Jinping Zhuge

This paper is concerned with the homogenization of Dirichlet problem of elliptic systems in a bounded, smooth domain of finite type. Both the coefficients of the elliptic operator…