A pointwise differential inequality and second-order regularity for nonlinear elliptic systems

DOI10.1007/s00208-021-02249-9zbMath1506.35053arXiv2102.09423OpenAlexW3195260958MaRDI QIDQ2160198

Anna Kh. Balci, Andrea Cianchi, Lars Diening, Vladimir Gilelevich Maz'ya

Publication date: 3 August 2022

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

Full work available at URL: https://arxiv.org/abs/2102.09423

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60)

Related Items (12)

Symmetry and monotonicity results for solutions of vectorial 𝑝-Stokes systems ⋮ Elliptic Equations with Degenerate Weights ⋮ Local Hölder continuity for fractional nonlocal equations with general growth ⋮ Wolff potentials and measure data vectorial problems with Orlicz growth ⋮ Relaxed Kačanov Scheme for the \(\boldsymbol{p}\)-Laplacian with Large Exponent ⋮ A global second-order Sobolev regularity for \(p\)-Laplacian type equations with variable coefficients in bounded domains ⋮ Global maximal regularity for equations with degenerate weights ⋮ On Temporal Regularity of Strong Solutions to Stochastic \(p\)-Laplace Systems ⋮ A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form ⋮ Global regularity for nonlinear systems with symmetric gradients ⋮ An averaged space-time discretization of the stochastic \(p\)-Laplace system ⋮ Higher differentiability and integrability for some nonlinear elliptic systems with growth coefficients in \textit{BMO}

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