Variational problem involving operator curl associated with p -curl system

DOI10.3906/mat-1606-11zbMath1424.49003OpenAlexW2799711503MaRDI QIDQ4634212

Junichi Aramaki

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1606-11

zbMATH Keywords

variational problemmulticonnected domain\(p\)-curl system

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

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Cites Work

• On a \(p\)-curl system arising in electromagnetism
• \(L^p\)-theory for vector potentials and Sobolev's inequalities for vector fields
• Degenerate parabolic equations
• Regularity of weak solutions for degenerate quasilinear elliptic equations involving operator curl
• Nucleation of instability of the Meissner state of 3-dimensional superconductors
• Asymptotics of minimizers of variational problems involving curl functional
• Minimizing curl in a multiconnected domain
• Finite Element Methods for Navier-Stokes Equations
• L^p-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
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