Sharp estimates for fully bubbling solutions of a \(\mathrm{SU}(3)\) Toda system
The authors obtain sharp estimates for fully bubbling solutions of \(\mathrm{SU}(3)\) Toda systems in a compact Riemann surface: \[ \begin{cases}\Delta u_1+2 e^{u_1}-e^{u_2} = 4 \pi \sum_{j=1}^m \gamma_{j1} \delta_{q_j},\\ \Delta u_2+2 e^{u_2}-e^{u_1} = 4 \pi \sum_{j=1}^m \gamma_{j2} \delta_{q_j},\end{cases} \] where \(\Delta\) stands for the Laplace-Beltrami operator, \(\gamma_{jk} \in \mathbb N\), and \(\delta_{q_j}\) is the Dirac measure at \(q_j\).
scientific article; zbMATH DE number 6132217
scientific article