A priori estimate for non-uniform elliptic equations

DOI10.1016/j.jde.2010.11.006zbMath1209.35037OpenAlexW2050583800MaRDI QIDQ627673

Li-Ming Yeh

Publication date: 3 March 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2010.11.006

zbMATH Keywords

permeabilitymatrix block regionnon-uniform elliptic equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Weak solutions to PDEs (35D30)

Related Items (3)

Homogenization of a fully coupled thermoelasticity problem for a highly heterogeneous medium with a priori known phase transformations ⋮ Homogenization of boundary value problems in perforated Lipschitz domains ⋮ Large-scale Lipschitz estimates for elliptic systems with periodic high-contrast coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some new a priori estimates for second-order elliptic and parabolic interface problems
• Stress amplification in vanishingly small geometries
• Gradient estimates for solutions to divergence form elliptic equations with discontinuous coefficients
• Some uniform elliptic estimates in a porous medium
• Linear and quasilinear elliptic equations
• On traces of functions in for Lipschitz domains in
• High Shear Stresses in Stiff-Fiber Composites
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Compactness methods in the theory of homogenization
• An extension theorem from connected sets, and homogenization in general periodic domains
• Homogenization and Two-Scale Convergence
• On a Regularity Theorem for Weak Solutions to Transmission Problems with Internal Lipschitz Boundaries

This page was built for publication: A priori estimate for non-uniform elliptic equations