Regularity in oscillatory nonlinear elliptic systems

DOI10.1007/s00209-008-0302-0zbMath1158.35037OpenAlexW2093040269MaRDI QIDQ957904

Christof Melcher, Jan Kristensen

Publication date: 1 December 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0302-0

zbMATH Keywords

Morrey-Sobolev regularityoscillatory nonlinear elliptic systems

Mathematics Subject Classification ID

Related Items (21)

The Gehring lemma: dimension free estimates ⋮ Regularity on the interior for some class of nonlinear second-order elliptic systems ⋮ Asymptotically regular problems I: Higher integrability ⋮ Smallness and cancellation in some elliptic systems with measure data ⋮ On Hölder continuity of vector-valued minimizers for quadratic growth functionals ⋮ Uniform integrability in periodic homogenization of fully nonlinear elliptic equations ⋮ Local Lipschitz regularity for degenerate elliptic systems ⋮ Hölder estimate for non-uniform parabolic equations in highly heterogeneous media ⋮ Gradient regularity in mixed local and nonlocal problems ⋮ Calderón-Zygmund estimates and non-uniformly elliptic operators ⋮ Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\) ⋮ Lipschitz estimates and existence of correctors for nonlinearly elastic, periodic composites subject to small strains ⋮ Corrector problem in the deterministic homogenization of nonlinear elliptic equations ⋮ Elliptic systems with measure data ⋮ Quasilinear elliptic systems with measure data ⋮ Fractional differentiability for solutions of nonlinear elliptic equations ⋮ Higher differentiability of minimizers of convex variational integrals ⋮ Boundary regularity in variational problems ⋮ Boundary regularity of minima ⋮ Direct approach to \(L^p\) estimates in homogenization theory ⋮ Unnamed Item

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