Aigner, Mats Existence of the Ginzburg-Landau vortex number. (English) Zbl 0976.58012 Commun. Math. Phys. 216, No. 1, 17-22 (2001). Summary: The existence of the Ginzburg-Landau vortex number is established for any configuration with finite action. As a consequence, Bogomol’nyi’s formula for the critical action is valid for any finite action configuration. Cited in 1 Document MSC: 58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals 35Q40 PDEs in connection with quantum mechanics 81T99 Quantum field theory; related classical field theories Keywords:existence; Ginzburg-Landau vortex number PDFBibTeX XMLCite \textit{M. Aigner}, Commun. Math. Phys. 216, No. 1, 17--22 (2001; Zbl 0976.58012) Full Text: DOI