Gauged harmonic maps, Born-Infeld electromagnetism, and magnetic vortices
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Publication:4432778
DOI10.1002/cpa.10106zbMath1141.58304OpenAlexW2129585046MaRDI QIDQ4432778
Publication date: 29 October 2003
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.10106
Yang-Mills and other gauge theories in quantum field theory (81T13) Harmonic maps, etc. (58E20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
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Solitary waves for nonlinear Klein-Gordon equations coupled with Born-Infeld theory ⋮ On anisotropic singularities for semi-linear elliptic equations in \(\mathbb{R}^2\) ⋮ Explicit self-similar solutions for a class of zero mean curvature equation and minimal surface equation ⋮ Eigenvalue problems for \(p\)-div-curl systems ⋮ Asymptotic behaviors of governing equation of gauged sigma model for Heisenberg ferromagnet ⋮ An extended magnetostatic Born-Infeld model with a concave lower order term ⋮ A survey of solutions in a gravitational Born-Infeld theory ⋮ On vanishing theorems for vector bundle valued \(p\)-forms and their applications ⋮ The gradient flow for gauged harmonic map in dimension two. II ⋮ Classification of non-topological solutions of an elliptic equation arising from self-dual gauged sigma model ⋮ The boundary value problem for Yang-Mills-Higgs fields ⋮ Qualitative properties of solutions to semilinear elliptic equations from the gravitational Maxwell gauged \(O(3)\) sigma model ⋮ Dynamical behavior near explicit self-similar blow–up solutions for the Born–Infeld equation ⋮ Geometric analysis of the Yang-Mills-Higgs-Dirac model ⋮ Convergent perturbative power series solution of the stationary Maxwell–Born–Infeld field equations with regular sources
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