Uniqueness and Symmetry for the Mean Field Equation on Arbitrary Flat Tori

DOI10.1093/imrn/rnaa109zbMath1481.35134OpenAlexW3026855419MaRDI QIDQ5021601

Qinfeng Li, Guangze Gu, Yeyao Hu, Changfeng Gui

Publication date: 13 January 2022

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

Full work available at URL: https://doi.org/10.1093/imrn/rnaa109

zbMATH Keywords

symmetryuniquenessflat torusmean field equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01)

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