Global Calderón-Zygmund type theory for elliptic problems with degenerate weights from composite structures

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초록

In this research, we study a higher regularity result for elliptic problems with degenerate weights. We consider nonlinear p-Laplacian type elliptic equations related to composite materials which are composed of two or more distinct substances with different properties. Under the suitable assumptions on the nonlinearities and the geometry of composite structures, we obtain a global Calder & oacute;n-Zygmund type theory. (c) 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

키워드

Calder & oacuten-Zygmund theoryComposite materialReifenberg flat domainMatrix weightMEASURABLE COEFFICIENTSDIVERGENCE FORMEQUATIONSSYSTEMS
제목
Global Calderón-Zygmund type theory for elliptic problems with degenerate weights from composite structures
저자
Cho, YumiJang, Yunsoo
DOI
10.1016/j.jde.2026.114147
발행일
2026-04-15
유형
Article
저널명
Journal of Differential Equations
460