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Under some suitable assumption on $\\beta_{i,\\ell}$ we establish the existence and non-existence results. This paper generalizes Luo-Tian's [19] and Hyder-Lin-Wei's [10] results t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1904.05549","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-04-11T06:55:04Z","cross_cats_sorted":[],"title_canon_sha256":"42abe132e60e663b8b259f77e16f55d369cb8c2ae2d1dc66edeb021211e9ee78","abstract_canon_sha256":"9d2d71cb19f9f98bdee4124e7ba7e85c314fbac32ef20d2ea7bda47810438f44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:49.192874Z","signature_b64":"dJlduz1ajPS+eYrP9VhST6rlhyV6AP3mSBFnXiycDjoo9fywPd/wLQaVrhAyqrgkHLiH8YhisLnitN+VHhK9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c4cb4107cea211351429b915cacf9a940630877c14b48fc4380abb90f6b0765","last_reissued_at":"2026-05-17T23:48:49.192247Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:49.192247Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the general Toda system with multiple singular points","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ali Hyder, Juncheng Wei, Wen Yang","submitted_at":"2019-04-11T06:55:04Z","abstract_excerpt":"In this paper, we consider the following elliptic Toda system associated to a general simple Lie algebra with multiple singular sources \\begin{equation*} \\begin{cases} -\\Delta w_i=\\sum_{j=1}^na_{i,j}e^{2w_j}+2\\pi\\sum_{\\ell=1}^m\\beta_{i,\\ell}\\delta_{p_\\ell} \\quad&\\mbox{in}\\quad\\mathbb{R}^2,\\\\ \\\\ w_i(x)=-2\\log|x|+O(1)~\\mbox{as}~|x|\\to\\infty,\\quad &i=1,\\cdots,n, \\end{cases} \\end{equation*} where $\\beta_{i,\\ell}\\in[0,1)$. Under some suitable assumption on $\\beta_{i,\\ell}$ we establish the existence and non-existence results. 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