The self-improving property of the Jacobian determinant in Orlicz spaces

DOI10.1512/IUMJ.2010.59.3891zbMath1204.46018OpenAlexW1984959759MaRDI QIDQ3577978

Antonia Passarelli Di Napoli, Luigi Greco, Flavia Giannetti

Publication date: 13 July 2010

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2010.59.3891

zbMATH Keywords

Jacobian determinantmappings of finite distortionhigher integrability

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items (5)

Grand Sobolev spaces and their applications in geometric function theory and PDEs ⋮ Bisobolev mappings and homeomorphisms with finite distortion ⋮ A version of Gehring lemma in Orlicz spaces ⋮ A note on the continuity of minors in grand Lebesgue spaces ⋮ Regularity of solutions of degenerate \(A\)-harmonic equations

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