Fractional Korn's inequalities without boundary conditions
DOI10.2140/memocs.2023.11.497arXiv2302.14588OpenAlexW4389225154MaRDI QIDQ6192390
Hayk Mikayelyan, James M. Scott, Davit Harutyunyan, Tadele Mengesha
Publication date: 12 February 2024
Published in: Mathematics and Mechanics of Complex Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.14588
Fractional derivatives and integrals (26A33) Inequalities and extremum problems involving convexity in convex geometry (52A40) Inequalities involving derivatives and differential and integral operators (26D10) Elastic materials (74B99) Inequalities and extremum problems in real or complex geometry (51M16)
Cites Work
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- Hitchhiker's guide to the fractional Sobolev spaces
- Nonlocal constrained value problems for a linear peridynamic Navier equation
- Linearized theory of peridynamic states
- Hardy inequalities for fractional integrals on general domains
- A fractional order Hardy inequality
- Reformulation of elasticity theory for discontinuities and long-range forces
- A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations
- Peridynamic states and constitutive modeling
- A fractional Korn-type inequality
- On the fractional Korn inequality in bounded domains: counterexamples to the case \(ps < 1\)
- NONLOCAL KORN-TYPE CHARACTERIZATION OF SOBOLEV VECTOR FIELDS
- On the variational limit of a class of nonlocal functionals related to peridynamics
- Boundary-value problems for the system of elasticity theory in unbounded domains. Korn's inequalities
- On Korn's second inequality
- Über die zusammenziehende und Lipschitzsche Transformationen
- Fractional Korn inequality on subsets of the Euclidean space
- Fractional Korn and Hardy-type inequalities for vector fields in half space
- A First Course in Fractional Sobolev Spaces
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