Improved existence results of solutions to the gravitational Maxwell gauged 𝑂(3) sigma model

DOI10.1090/proc/12967zbMath1338.81278OpenAlexW2278397042MaRDI QIDQ2809204

Kyungwoo Song

Publication date: 27 May 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12967

zbMATH Keywords

weighted Sobolev spacegravitational Maxwell gauged \(\mathrm{O}(3)\) sigma modelsuper- and subsolution method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Model quantum field theories (81T10) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Yang-Mills and other gauge theories in quantum field theory (81T13) Gravitational interaction in quantum theory (81V17) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Semilinear elliptic equations (35J61)

Related Items (7)

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 \(\mathbb{R}^2\) ⋮ 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

Cites Work

• Unnamed Item
• Existence of solutions to the self-dual equations in the Maxwell gauged sigma model
• The existence and asymptotics of solutions for the abelian Chern-Simons system with two Higgs fields and two gauge fields
• On the equation \(\Delta u+Ke^{2u}=f\) and prescribed negative curvature in \({\mathbb{R}}^ 2\)
• Existence of multi-string solutions of the gauged harmonic map model
• A necessary and sufficient condition for the existence of multisolitons in a self-dual gauged sigma model

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