Asymptotic Behavior of the Chern–Simons Higgs 6-th Theory

DOI10.1080/03605300701629419zbMath1135.58006OpenAlexW1802614818MaRDI QIDQ5437531

Xiaohong Lan, Jiayu Li

Publication date: 21 January 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300701629419

zbMATH Keywords

asymptotic behaviorbubblesChern-Simons Higgs modelKazdan-Warner problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

The asymptotic behavior of Chern-Simons Higgs model on a compact Riemann surface with boundary, Topological degree for Chern-Simons Higgs models on finite graphs, Variational approach to various nonlinear problems in geometry and physics, Blow-up analysis involving isothermal coordinates on the boundary of compact Riemann surface, Multiple Existence Results for the Self-Dual Chern–Simons–Higgs Vortex Equation

Cites Work

• Multiplicity results for the two-vortex Chern-Simons Higgs model on the two-sphere
• On a sharp Sobolev-type inequality on two-dimensional compact manifolds
• On the asymptotic behavior of solutions of the conformal Gaussian curvature equations in \(\mathbb R^ 2\)
• 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
• Vortex condensation in the Chern-Simons Higgs model: An existence theorem
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Multiple condensate solutions for the Chern–Simons–Higgs theory
• Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials