Wiener type regularity of a boundary point for the 3D Lamé system

DOI10.1007/s11118-009-9147-3zbMath1185.35281arXiv0901.3186OpenAlexW2087200625MaRDI QIDQ849292

Guo Luo, Vladimir Gilelevich Maz'ya

Publication date: 25 February 2010

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3186

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Classical linear elasticity (74B05) Boundary behavior of harmonic functions in higher dimensions (31B25) PDEs in connection with mechanics of deformable solids (35Q74) Potentials and capacities, extremal length and related notions in higher dimensions (31B15) Boundary value problems for second-order elliptic systems (35J57)

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Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey ⋮ Pointwise inequalities for elliptic boundary value problems ⋮ Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains

Cites Work

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• The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations
• The Wiener test for higher order elliptic equations.
• Weighted positivity of second order elliptic systems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I