Existence results for a super Toda system
Aleks Jevnikar, Ruijun Wu
TL;DR
This paper establishes existence results for a super Toda system on closed Riemann surfaces with certain spin structures, extending previous methods used for super Liouville equations.
Contribution
It generalizes min-max methods to solve super Toda systems on higher genus surfaces, providing new existence results in this area.
Findings
Existence of solutions on Riemann surfaces of genus > 1
Extension of min-max methods to super Toda systems
New existence results for super Toda equations
Abstract
We solve a super Toda system on a closed Riemann surface of genus~ and with some particular spin structures. This generalizes the min-max methods and results for super Liouville equations and gives new existence results for super Toda systems.
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Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems · Advanced Topics in Algebra