The Grand Sobolev Homeomorphisms and Their Measurability Properties

DOI10.1515/ans-2012-0407zbMath1267.26015OpenAlexW2516572958MaRDI QIDQ4898422

Luigi D'Onofrio

Publication date: 2 January 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2012-0407

zbMATH Keywords

JacobianSobolev homeomorphismLusin condition

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (3)

Some remarks on Sobolev and bi-Sobolev mappings ⋮ Boyd indices in generalized grand Lebesgue spaces and applications ⋮ Recent studies on Sobolev mappings

Cites Work

• Property N of homeomorphisms of the class \(W_ p\)
• On the integrability of the Jacobian under minimal hypotheses
• Some geometrical properties of functions and mappings with generalized derivatives
• Weak minima of variational integrals.
• A change of variables formula for mappings in BV

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