Moser-Trudinger inequalities for singular Liouville systems

DOI10.1007/S00209-015-1584-7zbMath1339.35011arXiv1410.4994OpenAlexW2264723167MaRDI QIDQ269917

Luca Battaglia

Publication date: 6 April 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4994

zbMATH Keywords

coercivityminimizing solutionsPohožaev-type identitiesconcentration-compactness alternative

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Second-order elliptic systems (35J47) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (5)

Existence and non-existence results for the \(SU(3)\) singular Toda system on compact surfaces ⋮ Degree counting formula for non-symmetric Toda systems of rank two ⋮ A double mean field equation related to a curvature prescription problem ⋮ B 2 and G2 Toda systems on compact surfaces: A variational approach ⋮ Degree counting for Toda system with simple singularity: one point blow up

Cites Work

• Unnamed Item
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• \(\text{SU}(3)\) Chern-Simons vortex theory and Toda systems
• Self-dual gauge field vortices. An analytical approach
• Harmonic maps of the two-sphere into a complex Grassmann manifold. II
• Prescribing Gaussian curvature on S 2
• Conformal deformations of metric on \({\mathcal S}\) 2
• Sharp borderline Sobolev inequalities on compact Riemannian manifolds
• On the solutions of Liouville systems
• Classification of blowup limits for \(\mathrm{SU}(3)\) singular Toda systems
• Moser-Trudinger and logarithmic HLS inequalities for systems
• The logarithmic HLS inequality for systems on compact manifolds
• A singular Moser-Trudinger embedding and its applications
• Isometric imbedding of complex manifolds
• Prescribing Curvature on Compact Surfaces with Conical Singularities
• A Trudinger Inequality on Surfaces with Conical Singularities
• Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)e^uin two dimensions
• Moser-Trudinger inequalities and Liouville systems
• Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
• Self-Dual Chern-Simons Theories
• A Moser-Trudinger inequality for the singular Toda system
• Analytic aspects of the Toda system: II. Bubbling behavior and existence of solutions

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