Besov regularity for solutions of elliptic equations with variable exponents

DOI10.1002/mana.201900185OpenAlexW3031553943MaRDI QIDQ5126244

Raffaella Giova

Publication date: 16 October 2020

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

Full work available at URL: https://doi.org/10.1002/mana.201900185

zbMATH Keywords

Besov spacesnonlinear elliptic equationsvariable exponentshigher order fractional differentiability\(p(x)\)-Laplacian operator

Mathematics Subject Classification ID

Real functions (26-XX) Partial differential equations (35-XX)

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Higher differentiability results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions ⋮ Regularity estimates for the parabolic \(p (x, t)\)-Laplacian equation in Besov spaces ⋮ Regularity results for solutions to a class of non-autonomous obstacle problems with sub-quadratic growth conditions ⋮ Besov estimates for weak solutions of a class of quasilinear parabolic equations with general growth ⋮ Higher differentiability for bounded solutions to a class of obstacle problems with \((p, q)\)-growth ⋮ Higher order fractional differentiability for the stationary Stokes system ⋮ Besov regularity estimates for the elliptic \(p(x)\)-Laplacian equation with the logarithmic growth ⋮ Higher differentiability of solutions for a class of obstacle problems with variable exponents ⋮ Regularity results for solutions to obstacle problems with Sobolev coefficients ⋮ Besov regularity theory for stationary electrorheological fluids

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