Existence and multiplicity result for the singular Toda system

DOI10.1016/j.jmaa.2014.10.081zbMath1309.35020arXiv1404.1970OpenAlexW2061067058WikidataQ125802518 ScholiaQ125802518MaRDI QIDQ481941

Luca Battaglia

Publication date: 19 December 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1970

zbMATH Keywords

multiplicity resultexistence resultLiouville-type equationsToda systemPDEs on compact surfaces

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47)

Related Items (14)

Variational analysis of Toda systems ⋮ Existence and non-existence results for the \(SU(3)\) singular Toda system on compact surfaces ⋮ A double mean field equation related to a curvature prescription problem ⋮ Sharp upper bound of the number of solutions for the \(\mathrm{SU} (N + 1)\) Toda system on torus with non-critical parameters ⋮ A general existence result for the Toda system on compact surfaces ⋮ B 2 and G2 Toda systems on compact surfaces: A variational approach ⋮ On number and evenness of solutions of the \(SU(3)\) Toda system on flat tori with non-critical parameters ⋮ Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary ⋮ A unified approach of blow-up phenomena for two-dimensional singular Liouville systems ⋮ On singular Liouville equations and systems ⋮ MIN-MAX schemes for \(\mathrm{SU}(3)\) Toda systems ⋮ A general existence result for stationary solutions to the Keller-Segel system ⋮ Uniform bounds for solutions to elliptic problems on simply connected planar domains ⋮ A note on compactness properties of the singular Toda system

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