Weighted Poincaré and Korn inequalities for Hölder α domains
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Publication:5469132
DOI10.1002/mma.680zbMath1087.26009OpenAlexW2058800206MaRDI QIDQ5469132
Gabriel Acosta, Ariel L. Lombardi, Ricardo G. Durán
Publication date: 16 May 2006
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.680
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classical linear elasticity (74B05) Inequalities involving derivatives and differential and integral operators (26D10)
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Improved Poincar\'e inequalities in fractional Sobolev spaces ⋮ Korn's inequalities for generalized external cusps ⋮ SOLUTIONS OF THE DIVERGENCE AND ANALYSIS OF THE STOKES EQUATIONS IN PLANAR HÖLDER-α DOMAINS ⋮ Korn's inequality and John domains ⋮ Navier-Stokes-Fourier fluids interacting with elastic shells ⋮ Korn type inequalities in Orlicz spaces ⋮ Korn's inequality in anisotropic Sobolev spaces ⋮ Construction of a right inverse for the divergence in non-cylindrical time dependent domains ⋮ Weighted discrete Hardy inequalities on trees and applications ⋮ Weighted BFBT Preconditioner for Stokes Flow Problems with Highly Heterogeneous Viscosity ⋮ Korn inequality on irregular domains ⋮ A decomposition technique for integrable functions with applications to the divergence problem ⋮ A note on weighted Korn inequality ⋮ Compressible fluids interacting with a linear-elastic shell ⋮ Korn inequality and divergence operator: Counterexamples and optimality of weighted estimates ⋮ Poincaré meets Korn via Maxwell: extending Korn's first inequality to incompatible tensor fields ⋮ Weighted asymptotic Korn and interpolation Korn inequalities with singular weights ⋮ A conformal Korn inequality on Hölder domains ⋮ Embedding theorem for bounded deformations in domains with cusps
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