The stationary mean field model of superconductivity: Partial regularity of the free boundary

DOI10.1006/jdeq.1999.3631zbMath0937.35178OpenAlexW1986070268MaRDI QIDQ1806150

Barbara E. E. Stoth, Reiner Michael Schätzle

Publication date: 20 December 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3631

zbMATH Keywords

regularity of the free boundarymean field theory of superconductivity

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Statistical mechanics of superconductors (82D55) Free boundary problems for PDEs (35R35)

Cites Work

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• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
• The free boundary in the Thomas-Fermi atomic model
• Viscosity solutions of a degenerate parabolic-elliptic system arising in the mean-field theory of superconductivity
• Analysis of a mean field model of superconducting vortices
• A Mean-Field Model of Superconducting Vortices in Three Dimensions
• A mean-field model of superconducting vortices