Lower bounds for the energy of \(S^ 1\)-valued maps in perforated domains

DOI10.1007/BF02788826zbMath0852.49028MaRDI QIDQ1909260

Itai Shafrir, Zheng-Chao Han

Publication date: 1 December 1996

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Ginzburg-Landau functionalperforated domainlower bound for the Dirichlet energy

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence of solutions for minimax problems (49J35) Variational methods for second-order elliptic equations (35J20)

Related Items

Lower bounds for the energy of unit vector fields and applications, APPROXIMATIONS WITH VORTICITY BOUNDS FOR THE GINZBURG–LANDAU FUNCTIONAL, Uniform estimates for the parabolic Ginzburg–Landau equation, Energy Estimates and Cavity Interaction for a Critical-Exponent Cavitation Model, A Ginzburg–Landau problem with weight having minima on the boundary

Cites Work

• Harmonic maps with defects
• Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
• Ginzburg-Landau vortices