\(L^{3/2}\)-estimates of vector fields with \(L^{1}\) curl in a bounded domain

DOI10.1007/s00526-011-0473-0zbMath1259.35007OpenAlexW2004606643MaRDI QIDQ1937823

Xingfei Xiang

Publication date: 1 February 2013

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-011-0473-0

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) A priori estimates in context of PDEs (35B45) Linear first-order PDEs (35F05) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

Hardy-type inequalities for vector fields with vanishing tangential components ⋮ Global Div-Curl lemma in negative Sobolev spaces ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations

Cites Work

• New estimates for the div-curl-grad operators and elliptic problems with \(L^{1}\)-data in the whole space and in the half-space
• Quasilinear elliptic system arising in a three-dimensional type-II superconductor for infinite \(\kappa\)
• New estimates for the Laplacian, the div-curl, and related Hodge systems
• Weighted Sobolev spaces for Laplace's equation in \(\mathbb{R}^ n\)
• Nucleation of instability of the Meissner state of 3-dimensional superconductors
• On Singular Integrals
• $L^r$-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains
• Asymptotic behaviour of the div-curl problem in exterior domains
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