Trace-Free Korn Inequalities in Orlicz Spaces
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Publication:5274922
DOI10.1137/16M1073662zbMath1380.46028arXiv1605.01006OpenAlexW2963624580MaRDI QIDQ5274922
Dominic Breit, Lars Diening, Andrea Cianchi
Publication date: 7 July 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.01006
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 (16)
Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions ⋮ Existence of dissipative (and weak) solutions for models of general compressible viscous fluids with linear pressure ⋮ Symmetric-convex functionals of linear growth ⋮ Non-stationary flows of asymptotically Newtonian fluids ⋮ Fractional higher differentiability for solutions of stationary Stokes and Navier-Stokes systems with Orlicz growth ⋮ Optimal incompatible Korn-Maxwell-Sobolev inequalities in all dimensions ⋮ Versatile mixed methods for the incompressible Navier-Stokes equations ⋮ Semiflow selection to models of general compressible viscous fluids ⋮ Generalized solutions to models of compressible viscous fluids ⋮ Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms ⋮ Variable exponent Bochner-Lebesgue spaces with symmetric gradient structure ⋮ Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy ⋮ Sobolev inequalities for the symmetric gradient in arbitrary domains ⋮ Complexes from complexes ⋮ A conformal Korn inequality on Hölder domains ⋮ \(\mathscr{A}\)-quasiconvexity and partial regularity
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