Abstract
We consider the Toda system of Liouville equations on a compact surface
which arises as a model for nonabelian Chern–Simons vortices. Here and are smooth positive functions and and two positive parameters.
For the first time, the ranges , , and are studied with a variational approach on surfaces with arbitrary genus. We provide a general existence result by using a new improved Moser–Trudinger-type inequality and introducing a topological join construction in order to describe the interaction of the two components and .
Citation
Aleks Jevnikar. Sadok Kallel. Andrea Malchiodi. "A topological join construction and the Toda system on compact surfaces of arbitrary genus." Anal. PDE 8 (8) 1963 - 2027, 2015. https://doi.org/10.2140/apde.2015.8.1963
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