Variational approach to various nonlinear problems in geometry and physics

DOI10.1007/s11464-008-0013-1zbMath1146.53047OpenAlexW2041666680MaRDI QIDQ942946

Jiayu Li

Publication date: 8 September 2008

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-008-0013-1

zbMATH Keywords

\(Q\)-curvatureToda systemChern-Simons Higgs modelKazdan-Warner problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Applications of global differential geometry to the sciences (53C80) Differential geometric aspects of harmonic maps (53C43) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

A singular Kazdan-Warner problem on a compact Riemann surface

Cites Work

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• \(\text{SU}(3)\) Chern-Simons vortex theory and Toda systems
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Conformal metrics with prescribed scalar curvature
• Prescribing Gaussian curvature on S 2
• Existence results for mean field equations
• The differential equation \(\Delta u=8\pi-8\pi he^u\) on a compact Riemann surface
• An analysis of the two-vortex case in the Chern-Simons Higgs model
• Extremal metrics of zeta function determinants on 4-manifolds
• Curvature functions for compact 2-manifolds
• Existence of conformal metrics with constant \(Q\)-curvature
• A Best Constant and the Gaussian Curvature
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
• Multiple condensate solutions for the Chern–Simons–Higgs theory
• ON NIRENBERG'S PROBLEM
• Asymptotic Behavior of the Chern–Simons Higgs 6-th Theory
• Compactness of solutions to some geometric fourth-order equations