A note on compactness properties of the singular Toda system

DOI10.4171/RLM/708zbMath1322.35020arXiv1410.4991MaRDI QIDQ2356231

Luca Battaglia, Gabriele Mancini

Publication date: 29 July 2015

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4991

zbMATH Keywords

blow-up analysisToda systemmass quantizationcompactness of solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic systems (35J47) Blow-up in context of PDEs (35B44)

Related Items (9)

Variational analysis of Toda systems ⋮ Existence and non-existence results for the \(SU(3)\) singular Toda system on compact surfaces ⋮ Asymmetric blow-up for the \(\mathrm{SU}(3)\) Toda system ⋮ A general existence result for the Toda system on compact surfaces ⋮ B 2 and G2 Toda systems on compact surfaces: A variational approach ⋮ Existence and multiplicity result for the singular Toda system ⋮ MIN-MAX schemes for \(\mathrm{SU}(3)\) Toda systems ⋮ A general existence result for stationary solutions to the Keller-Segel system ⋮ On the topological degree of the mean field equation with two parameters

Cites Work

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• Existence and multiplicity result for the singular Toda system
• \(\text{SU}(3)\) Chern-Simons vortex theory and Toda systems
• Some existence results for the Toda system on closed surfaces
• Harmonic maps of the two-sphere into a complex Grassmann manifold. II
• Isometric imbedding of complex manifolds
• Analytic aspects of the Toda system: I. A Moser‐Trudinger inequality
• A Variational Analysis of the Toda System on Compact Surfaces
• 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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