On passage to the limit in nonlinear elliptic equations

DOI10.1134/S1064562408030174zbMath1184.35131OpenAlexW2032940134MaRDI QIDQ954198

Vasilii V. Jikov

Publication date: 10 November 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562408030174

zbMATH Keywords

nonlinear elliptic equation\(p\)-Laplaciannon-Newtonian fluid dynamics

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Nonlinear elliptic equations (35J60) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (17)

Existence of weak solutions for some local and nonlocal \(p\)-Laplacian problem ⋮ On the technique for passing to the limit in nonlinear elliptic equations ⋮ New approach to the solvability of generalized Navier-Stokes equations ⋮ On the compensated compactness principle ⋮ On the weak convergence of fluxes to a flux ⋮ Nonstationary version of Zhikov's compensated compactness lemma and its application to the solvability of the generalized Navier-Stokes equations ⋮ Parabolic lemmas on compensated compactness and their applications ⋮ On variational problems and nonlinear elliptic equations with nonstandard growth conditions ⋮ Homogenization of the non-isothermal, non-Newtonian fluid flow in a thin domain with oscillating boundary ⋮ On numerical approximation of diffusion problems governed by variable-exponent nonlinear elliptic operators ⋮ Convergence of monotone operators with respect to measures ⋮ Lemmas on compensated compactness in elliptic and parabolic equations ⋮ Corrector problem in the deterministic homogenization of nonlinear elliptic equations ⋮ Solvability of generalized Navier-Stokes equations ⋮ Structural stability for variable exponent elliptic problems. II: The \(p(u)\)-Laplacian and coupled problems ⋮ Structural stability for variable exponent elliptic problems. I: The \(p(x)\)-Laplacian kind problems ⋮ Elliptic problems with nonstandard conditions of growth: Zhikov's approach

Cites Work

• Unnamed Item
• Unnamed Item
• On stationary thermo-rheological viscous flows
• Nonlinear elliptic and parabolic equations involving measure data
• Relaxation of convex functionals: the gap problem
• Stationary solutions to the thermistor problem
• STATIONARY SOLUTIONS TO A QUASI-NEWTONIAN FLOW WITH VISCOUS HEATING

This page was built for publication: On passage to the limit in nonlinear elliptic equations