On multivortex solutions in Chern-Simons gauge theory

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1. BREZIS, H.- MERLE, F., Uniform estimates and blow-up behavior for solutions of $-\mathrm{\Delta }u=V\left(x\right)e^u$ in two dimensions, Comm. P.D.E., 16 (1991), 1223-1253. Zbl0746.35006MR1132783
2. CAGLIOTI, E.- LIONS, P. L.- MARCHIORO, C.- PULVIRENTI, M., A special class of stationary flows for two-dimensional Euler equations, a statistical mechanics description, Comm. Math. Phys., 143 (1992), 501-525. Zbl0745.76001MR1145596
3. CAGLIOTI, E.- LIONS, P. L.- MARCHIORO, C.- PULVIRENTI, M., A special class of stationary flows for two-dimensional Euler equations, a statistical mechanics description, part II, Comm. Math. Phys., 174 (1995), 229-260. Zbl0840.76002MR1362165
4. DUNNE, G., Self-dual Chern Simons Theories, Lecture Notes in Physics, New Series M, 36, Springer, New York (1996). Zbl0834.58001
5. HONG, J.- KIM, Y.- PAC, P. Y., Multivortex solutions of the Abelian Chern Simons theory, Phys. Rev. Lett., 64 (1990), 2230-2233. Zbl1014.58500MR1050529
6. JACKIW, R.- WEINBERG, E. J., Selfdual Chern Simons vortices, Phys. Rev. Lett., 64 (1990), 2234-2237. Zbl1050.81595MR1050530
7. KIESSLING, M. K. H., Statistical Mechanics of classical particles with logarithmic interaction, Comm. Pure Appl. Math., 46 (1993), 27-56. Zbl0811.76002MR1193342
8. LI, Y.- SHAFRIR, I., Blow-up analysis for solutions of $-\mathrm{\Delta }u=V{e}^u$ in dimension two, Ind. Univ. Math. J., 43 (1994), 1255-1270. Zbl0842.35011MR1322618
9. MOSER, J., A sharp form of an inequality by N. Trudinger, Ind. Univ. Math. J., 20 (1971), 1077-1091. Zbl0213.13001MR301504
10. RICCIARDI, T.- TARANTELLO, G., in preparation. 
11. STRUWE, M., The existence of surfaces of constant mean curvature with free boundaries, Acta Math., 160 (1988), 19-64. Zbl0646.53005MR926524
12. STRUWE, M., Critical points of embeddings of $H^{1,2}$ into Orlicz spaces, Ann. Inst. H. Poincaré, Analyse Nonlin., 5 (1988), 425-464. Zbl0664.35022MR970849
13. SUZUKI, T., Global analysis for two dimensional elliptic eigenvalue problems with exponential nonlinearities, Ann. Inst. H. Poincaré, Analyse Nonlin., 9 (1992), 367-398. Zbl0785.35045MR1186683
14. TARANTELLO, G., Multiple condensate solutions for the Chern-Simons-Higgs theory, J. Math. Phys., 37 (8) (1996), 3769-3796. Zbl0863.58081MR1400816
15. TAUBES, C. H., Arbitrary N-vortex solutions to the first order Ginzburg-Landau equation, Comm. Math. Phys., 72 (1980), 277-292. Zbl0451.35101MR573986

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