Regularity of solutions to Dirichlet boundary value problem in domains on a manifold

DOI10.3103/S0027132216050065zbMath1463.35213arXiv1605.02788OpenAlexW2549639202MaRDI QIDQ5116195

I. V. Tsylin

Publication date: 24 August 2020

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02788

zbMATH Keywords

elliptic operatorsregularity up to boundarySavaré-type theorems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Elliptic equations on manifolds, general theory (58J05) Linear operators on function spaces (general) (47B38)

Related Items (3)

Regularity of solutions to Dirichlet boundary value problem in domains on a manifold ⋮ The Nikol'skii type regularity of solutions to nonlinear problems in domains with Hölder boundary ⋮ Unnamed Item

Cites Work

• On boundary value problems for elliptic operators in the case of domains on manifolds
• Theory of function spaces
• On the dual of Besov spaces
• Regularity results for elliptic equations in Lipschitz domains
• Domain perturbations and estimates for the solutions of second order elliptic equations.
• Imbedding theorems for anisotropic Nikol'skij Besov spaces with moduli of continuity of general form
• On Restrictions and Extensions of the Besov and Triebel-Lizorkin Spaces with Respect to Lipschitz Domains
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