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• W3048792720 abstract "For regular $SU(3)$ Toda systems defined on Riemann surface, we initiate the study of bubbling solutions if parameters $(rho_1^k,rho_2^k)$ are both tending to critical positions: $(rho_1^k,rho_2^k)to (4pi, 4pi N)$ or $(4pi N, 4pi)$ ($N>0$ is an integer). We prove that there are at most three formations of bubbling profiles, and for each formation we identify leading terms of $rho_1^k-4pi$ and $rho_2^k-4pi N$, locations of blow-up points, and comparison of bubbling heights with sharp precision. The results of this article will be used as substantial tools for a number of degree counting theorems and critical point at infinity theory in the future." @default.
• W3048792720 created "2020-08-18" @default.
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• W3048792720 date "2020-01-01" @default.
• W3048792720 modified "2023-10-14" @default.
• W3048792720 title "Estimates of Bubbling Solutions of $SU(3)$ Toda Systems at Critical Parameters. Part 1" @default.
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• W3048792720 doi "https://doi.org/10.1137/20m131031x" @default.
• W3048792720 hasPublicationYear "2020" @default.
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