A compactness result for periodic multivortices in the electroweak theory

DOI10.1016/S0362-546X(02)00310-3zbMath1138.58308MaRDI QIDQ1869757

Daniele Bartolucci

Publication date: 28 April 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

concentration-compactness principleLiouville-type equationsmean field equationselectroweak vortices

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (8)

A topological degree counting for some Liouville systems of mean field type ⋮ On Liouville systems at critical parameters. II: Multiple bubbles ⋮ On Liouville systems at critical parameters. I: One bubble ⋮ Existence of bubbling solutions for the Liouville system in a torus ⋮ Energy quantization for a singular super-Liouville boundary value problem ⋮ A “Sup + C Inf” inequality for Liouville-type equations with singular potentials ⋮ Compactness of solutions to the Yamabe problem. II ⋮ The Liouville equation with singular data: a concentration-compactness principle via a local representation formula.

Cites Work

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• The evolution of harmonic mappings with free boundaries
• Prescribing Gaussian curvature on S 2
• On the equivalence of the first and second order equations for gauge theories
• Prescribing Gaussian curvatures on surfaces with conical singularities
• On multivortices in the electroweak theory. I: Existence of periodic solutions
• On multivortices in the electroweak theory. II: Existence of Bogomol'nyi solutions in \(\mathbb R^2\)
• Global analysis for a two-dimensional elliptic eigenvalue problem with the exponential nonlinearity
• 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
• Double vortex condensates in the Chern-Simons-Higgs theory
• Qualitative properties of solutions to some nonlinear elliptic equations in \(\mathbb{R}^2\)
• Sharp borderline Sobolev inequalities on compact Riemannian manifolds
• 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
• Topological degree for mean field equations on \(S^2\)
• Liouville type equations with singular data and their applications to periodic multivortices for the electroweak theory
• Vortex condensation in the Chern-Simons Higgs model: An existence theorem
• Topological solutions in the self-dual Chern-Simons theory: Existence and approximation
• Curvature functions for compact 2-manifolds
• Scalar Curvatures on S 2
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Vortices in the Maxwell‐Chern‐Simons theory
• Self-dual Chern-Simons vortices
• Multivortex solutions of the Abelian Chern-Simons-Higgs theory
• Self-Dual Chern-Simons Theories
• Multiple condensate solutions for the Chern–Simons–Higgs theory
• Vortex condensates for the SU(3) Chern-Simons theory
• The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory

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