Existence of multi-string solutions of the gauged harmonic map model

DOI10.1023/A:1014912714390zbMath0996.58017OpenAlexW107107517MaRDI QIDQ1599587

Myeongju Chae

Publication date: 11 June 2002

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014912714390

zbMATH Keywords

gauged harmonic map modelsmall gravitational constant

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) PDEs in connection with relativity and gravitational theory (35Q75) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (8)

The existence of solutions for the gravitational Maxwell gauged O(3) model on compact surfaces ⋮ Existence of topological multi-string solutions in Abelian gauge field theories ⋮ Existence of non-topological multi-string solutions for a gravitational $O(3)$ gauge field model ⋮ Classification of solutions of elliptic equations arising from a gravitational \(O(3)\) gauge field model ⋮ Bubbling solutions for the gravitational Maxwell gauged \(O(3)\) model in \(\mathbb{R}^2\) ⋮ Improved existence results of solutions to the gravitational Maxwell gauged 𝑂(3) sigma model ⋮ Classification of non-topological solutions of an elliptic equation arising from self-dual gauged sigma model ⋮ Qualitative properties of solutions to semilinear elliptic equations from the gravitational Maxwell gauged \(O(3)\) sigma model

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