Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere

DOI10.1007/s000140050079zbMath0913.53032OpenAlexW2066971021MaRDI QIDQ1284461

Guofang Wang, Jiayu Li, Juergen Jost, Wei-Yue Ding

Publication date: 9 June 1999

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140050079

zbMATH Keywords

phase transitionGinzburg-Landau functionalNirenberg problemMoser-Trudinger inequality\(\phi^6\) theoryChern-Simons Higgs theoryprescribing curvature on the 2-sphere

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05) Applications of differential geometry to physics (53Z05) Phase transitions (general) in equilibrium statistical mechanics (82B26) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Asymptotics for Maxwell-Chern-Simons multivortices ⋮ Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality ⋮ Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces ⋮ Periodic Maxwell-Chern-Simons vortices with concentrating property ⋮ Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Existence results for the mean field equation on a closed symmetric Riemann surface ⋮ The boundary value problem for the mean field equation on a compact Riemann surface ⋮ Existence of the heat flow with sign-changing prescribed function ⋮ Two-dimensional solutions of a mean field equation on flat tori ⋮ The convergence of the mean field type flow at a critical case ⋮ Uniqueness of the topological multivortex solution in the self-dual Chern–Simons theory ⋮ Nonself-dual Chern--Simons and Maxwell--Chern--Simons vortices on bounded domains ⋮ Asymptotic Behavior of the Chern–Simons Higgs 6-th Theory ⋮ Multi-bubbling condensates for the Maxwell-Chern-Simons model

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