A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations

DOI10.4310/CMS.2022.v20.n2.a5zbMath1483.35008arXiv2011.12407OpenAlexW3107370622MaRDI QIDQ2076203

James M. Scott, Tadele Mengesha

Publication date: 16 February 2022

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.12407

zbMATH Keywords

fractional Sobolev spacesself-improving propertyfractional Korn-type inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Spaces of vector- and operator-valued functions (46E40) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (4)

On the optimal control of a linear peridynamics model ⋮ On the fractional Korn inequality in bounded domains: counterexamples to the case \(ps < 1\) ⋮ A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double-phase equations ⋮ Fractional Korn's inequalities without boundary conditions

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