Gradient Estimates of Solutions to the Conductivity Problem with Flatter Insulators

DOI10.4208/ATA.2021.PR80.12zbMath1488.35119OpenAlexW3153487250MaRDI QIDQ3380766

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Publication date: 29 September 2021

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/ata.2021.pr80.12

zbMATH Keywords

maximum principleharmonic functionsgradient estimatesConductivity problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Composite media; random media in optics and electromagnetic theory (78A48) Blow-up in context of PDEs (35B44)

Related Items (6)

Gradient estimates for the insulated conductivity problem: The case of m-convex inclusions ⋮ Optimal estimates for the conductivity problem close to the boundary in dimension greater than two ⋮ The insulated conductivity problem with \(p\)-Laplacian ⋮ Optimal estimates for transmission problems including relative conductivities with different signs ⋮ Gradient estimates for the insulated conductivity problem with inclusions of the general m‐convex shapes ⋮ Gradient estimates of solutions to the insulated conductivity problem in dimension greater than two

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