The boundary value problem for the mean field equation on a compact Riemann surface

DOI10.1007/s11425-021-1962-5zbMath1505.49010arXiv2201.01544OpenAlexW4221142560WikidataQ114222409 ScholiaQ114222409MaRDI QIDQ2679070

Linlin Sun, Jiayu Li, Yun Yan Yang

Publication date: 18 January 2023

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.01544

zbMATH Keywords

compact Riemann surfacemean field equationtopological methodmin-max scheme

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Compact Riemann surfaces and uniformization (30F10) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Topological methods (93B24)

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