Compact embeddings of the space of functions with bounded logarithmic deformation

DOI10.1007/s10958-010-0190-9zbMath1229.46023OpenAlexW2091501457MaRDI QIDQ549423

Michael Bildhauer, Fuchs, Martin

Publication date: 18 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-010-0190-9

zbMATH Keywords

symmetric gradientbounded logarithmic deformationReshetnyak representation formulas

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (3)

On entire solutions of the equations for the displacement fields in the deformation theory of plasticity with logarithmic hardening ⋮ Solenoidal Lipschitz truncation and applications in fluid mechanics ⋮ Trace-Free Korn Inequalities in Orlicz Spaces

Cites Work

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• The nonlinear Stokes problem with general potentials having superquadratic growth
• Caratterizzazioni delle tracce sulla frontiera relative ad alcune classi di funzioni in \(n\) variabili
• Existence of the displacements field for an elasto-plastic body subject to Hecky's law and von Mises yield condition
• Functions of bounded deformation
• Variational integrals on Orlicz-Sobolev spaces
• Variational methods for problems from plasticity theory and for generalized Newtonian fluids
• Generalizations of Korn's inequality based on gradient estimates in Orlicz spaces and applications to variational problems in 2D involving the trace free part of the symmetric gradient
• Generalized Korn's inequality and conformal Killing vectors
• An estimate for the distance of a complex valued Sobolev function defined on the unit disc to the class of holomorphic functions
• On the singular integrals, I
• Note on the class LlogL
• Singular integrals and periodic functions
• A note on non-uniformly elliptic Stokes-type systems in two variables

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