Global gradient estimates for nonlinear equations of p-Laplace type from composite materials

Jang, Yunsoo; Kim, Youchan

doi:10.1016/j.jmaa.2018.10.023

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Cited by 2 publications

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“…Because of their wide applications, these problems have been developed in various ways. Among these, we are interested in regularity results, and also, there have been lots of related results; see [1][2][3][4][5][6][7][8][9][10][11][12]. In this viewpoint, we would like to consider divergence-form higher order elliptic equations with bounded measurable coefficients defined on a bounded domain with several subdomains.…”

Section: Introduction and Main Resultsmentioning

confidence: 99%

Calderón‐Zygmund estimates for higher order elliptic equations from composite material

Jang

2023

Math Methods in App Sciences

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We study Calderón‐Zygmund estimates for the weak solution to divergence‐form higher order elliptic equations. We assume that the domain is composed of disjoint subdomains of ‐Reifenberg flat condition and the coefficients are merely measurable in one variable and have small bounded mean oscillation (BMO) in the other variables. Based on our new understanding for the relation between these assumptions and composite material, we establish estimates for ‐th order elliptic equations.

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