New Korn-type inequalities and regularity of solutions to linear elliptic systems and anisotropic variational problems involving the trace-free part of the symmetric gradient

DOI10.1007/s00526-011-0406-yzbMath1233.35062OpenAlexW2042513757MaRDI QIDQ662832

Oliver D. Schirra

Publication date: 13 February 2012

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0406-y

zbMATH Keywords

interior regularityCampanato-type estimatescoercive inequality

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) General relativity (83C99) Variational methods for second-order elliptic equations (35J20) Elastic materials (74B99) Second-order elliptic systems (35J47) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (9)

L^p-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions ⋮ Mathematical theory of compressible magnetohydrodynamics driven by non-conservative boundary conditions ⋮ Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions ⋮ Versatile mixed methods for the incompressible Navier-Stokes equations ⋮ An abstract analysis framework for monolithic discretisations of poroelasticity with application to hybrid high-order methods ⋮ \(L^p\)-trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensions ⋮ Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy ⋮ Trace-Free Korn Inequalities in Orlicz Spaces

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