An algebraic construction of a solution to the mean field equations on hyperelliptic curves and its adiabatic limit

DOI10.1090/proc/14054zbMath1400.14087arXiv1705.08791OpenAlexW2727826148MaRDI QIDQ4577144

Jia-Ming (Frank) Liou, Chih-Chung Liu

Publication date: 17 July 2018

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

Full work available at URL: https://arxiv.org/abs/1705.08791

zbMATH Keywords

hyperelliptic curvepartial differential equationWeierstrass points

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Riemann surfaces; Weierstrass points; gap sequences (14H55) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

• Explicit solutions to the mean field equations on hyperelliptic curves of genus two
• Curvature functions for compact 2-manifolds
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
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