Symmetry of Solutions of a Mean Field Equation on Flat Tori

DOI10.1093/imrn/rnx121zbMath1432.58006arXiv1605.06905OpenAlexW2962744726MaRDI QIDQ5243305

Amir Moradifam, Changfeng Gui

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.06905

zbMATH Keywords

flat torusannulusmean field equationsymmetry results

Mathematics Subject Classification ID

Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (6)

Mean field equation and relativistic Abelian Chern-Simons model on finite graphs ⋮ Some geometric inequalities related to Liouville equation ⋮ Blow-up solutions for a mean field equation on a flat torus ⋮ Two-dimensional solutions of a mean field equation on flat tori ⋮ Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions ⋮ A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations

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