{"paper":{"title":"On a general SU(3) Toda System","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francesca Gladiali, Jun-cheng Wei, Massimo Grossi","submitted_at":"2014-07-27T13:03:16Z","abstract_excerpt":"We study the following generalized $SU(3)$ Toda System $$ \\left\\{\\begin{array}{ll} -\\Delta u=2e^u+\\mu e^v & \\hbox{ in }\\R^2\\\\ -\\Delta v=2e^v+\\mu e^u & \\hbox{ in }\\R^2\\\\ \\int_{\\R^2}e^u<+\\infty,\\ \\int_{\\R^2}e^v<+\\infty \\end{array}\\right. $$ where $\\mu>-2$. We prove the existence of radial solutions bifurcating from the radial solution $(\\log \\frac{64}{(2+\\mu) (8+|x|^2)^2}, \\log \\frac{64}{ (2+\\mu) (8+|x|^2)^2})$ at the values $\\mu=\\mu_n=2\\frac{2-n-n^2}{2+n+n^2},\\ n\\in\\N $."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7217","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}