{"paper":{"title":"New blow-up phenomena for SU(n+1) Toda system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Angela Pistoia, Juncheng Wei, Monica Musso","submitted_at":"2014-02-16T11:11:58Z","abstract_excerpt":"We consider the $SU(n+1)$ Toda system $$(S_\\lambda) \\quad \\left\\{ \\begin{aligned} & \\Delta u_1 + 2\\lambda e^{u_1} - \\lambda e^{u_2}- \\dots - \\lambda e^{u_k} = 0\\quad \\hbox{in}\\ \\Omega,\\\\ & \\Delta u_2 - \\lambda e^{u_1} + 2\\lambda e^{u_2} - \\dots - \\lambda e^{u_k}=0\\quad \\hbox{in}\\ \\Omega,\\\\ &\\vdots \\hskip3truecm \\ddots \\hskip2truecm \\vdots\\\\ & \\Delta u_k -\\lambda e^{u_1}-\\lambda e^{u_2}- \\dots+2\\lambda e^{u_k}=0\\quad \\hbox{in}\\ \\Omega, &u_1 = u_2 = \\dots = u_k =0 \\quad \\hbox{on}\\ \\partial\\Omega.\\\\ \\end{aligned}\\right. $$\n  If $0\\in\\Omega$ and $\\Omega$ is symmetric with respect to the origin, we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3784","kind":"arxiv","version":2},"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"}