Minimizers of curl prescribed full trace

DOI10.1007/s11766-020-3633-1zbMath1463.35473OpenAlexW3036925055MaRDI QIDQ2194700

Jun Chen

Publication date: 7 September 2020

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-020-3633-1

zbMATH Keywords

variational problemmulticonnected domainfull traceoperator curlsemilinear degenerate system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods for elliptic systems (35J50) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• On a \(p\)-curl system arising in electromagnetism
• Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
• A degenerate evolution system modeling Bean's critical-state type-II superconductors
• Regularity of weak solution to Maxwell's equations and applications to microwave heating
• A Hierarchy of Models for Type-II Superconductors
• Asymptotics of minimizers of variational problems involving curl functional
• Functionals with Operator Curl in an Extended Magnetostatic Born--Infeld Model
• Minimizing curl in a multiconnected domain
• Quasilinear systems involving curl
• On the Hölder Continuity of Solutions of a Certain System Related to Maxwell's Equations

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