Generalized \(G\)-convergence for quasilinear elliptic differential operators

DOI10.1016/j.na.2006.10.048zbMath1126.35028OpenAlexW2053037635MaRDI QIDQ2464285

Josef Malík

Publication date: 12 December 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.10.048

zbMATH Keywords

homogenizationheat conduction\(G\)-convergencequasilinear elliptic differential equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Nonlinear elliptic equations (35J60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-scale convergence with respect to measures and homogenization of monotone operators
• G-convergence of elliptic operators
• Estimates for the trace of the averaged matrix
• On Galerkin approximations of a quasilinear nonpotential elliptic problem of a nonmonotone type
• Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type
• Reliable solution of a quasilinear nonpotential elliptic problem of a nonmonotone type with respect to the uncertainty in coefficients
• On a reliable solution of a quasilinear elliptic equation with uncertain coefficients: Sensitivity analysis and numerical examples