A mean field equation with symmetry on torus

DOI10.1007/s11425-011-4271-0zbMath1242.58010OpenAlexW2136334748MaRDI QIDQ660001

Meng Wang

Publication date: 24 January 2012

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

Full work available at URL: https://doi.org/10.1007/s11425-011-4271-0

zbMATH Keywords

torusblow upmean field equation

Mathematics Subject Classification ID

Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Blow-up in context of PDEs (35B44)

Related Items

Mean field equations on a closed Riemannian surface with the action of an isometric group

Cites Work

• Uniqueness of solutions for a mean field equation on torus
• Harnack type inequality: The method of moving planes
• On a sharp Sobolev-type inequality on two-dimensional compact manifolds
• Existence results for mean field equations
• The differential equation \(\Delta u=8\pi-8\pi he^u\) on a compact Riemann surface
• Topological degree for mean field equations on \(S^2\)
• An expository survey on the recent development of mean field equations
• Topological degree for a mean field equation on Riemann surfaces
• Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
• EXTREMAL FUNCTIONS FOR MOSER–TRUDINGER INEQUALITIES ON 2-DIMENSIONAL COMPACT RIEMANNIAN MANIFOLDS WITH BOUNDARY
• A Mean Field Equation on a Torus: One-Dimensional Symmetry of Solutions
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