B 2 and G2 Toda systems on compact surfaces: A variational approach

DOI10.1063/1.4974774zbMath1359.35058arXiv1512.07566OpenAlexW2963100793MaRDI QIDQ2963271

Luca Battaglia

Publication date: 13 February 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07566

zbMATH Keywords

compact manifolds\(B_2\) and \(G_2\) Today systems

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Variational methods for elliptic systems (35J50) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) PDEs on manifolds (35R01)

Related Items (10)

Degree counting formula for non-symmetric Toda systems of rank two ⋮ Wave equations associated with Liouville-type problems: global existence in time and blow-up criteria ⋮ 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 priori estimates for \(D_4\) and \(F_4\) Toda systems ⋮ A unified approach of blow-up phenomena for two-dimensional singular Liouville systems ⋮ A general existence result for stationary solutions to the Keller-Segel system ⋮ Degree counting for Toda system with simple singularity: one point blow up ⋮ Sharp estimate for the critical parameters of \(SU(3)\) Toda system with arbitrary singularities. I ⋮ Uniform bounds for solutions to elliptic problems on simply connected planar domains

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