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We investigate here the following question: Given a finite number of points $p_{1},...,p_{k}\\in\\partial_\\infty M,$ if $u\\in C^{\\infty}(M)\\cap C^{0}\\left( \\bar{M}\\backslash\\left\\{ p_{1},...,p_{k}\\right\\} \\right) $ satisfies a PDE $\\mathcal Q(u)=0$ in $M$ and if $u|_{\\partial_\\infty M\\setminus\\left\\{p_{1},...,p_{k}\\right\\}}"},"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":"1601.00361","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-01-04T01:34:06Z","cross_cats_sorted":[],"title_canon_sha256":"f777a2ba560949da356d4bca2a2e1a5844d1f0d32c92ec94dbeed621dc65c91d","abstract_canon_sha256":"2fa7e22d2d587f174330a84a6e805b9323fb77a6f314ee8611665c1179319414"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:54:11.492239Z","signature_b64":"uUDGqZB286KopYB7oaFJp1Le3/SsJN1JgHW5a94bX2M6ltMC6L8u1N0TSTFHRKcATC/RyaYzKbkfwCo3cBZXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef5f115060d5acf4624e25c2e57ed7214dc02bd0612d6e112691fae373a6b929","last_reissued_at":"2026-07-05T02:54:11.491832Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:54:11.491832Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the nature of isolated asymptotic singularities of solutions of a family of quasi-linear elliptic PDE's on a Cartan-Hadamard manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jaime Bruck Ripoll, Leonardo Prange Bonorino","submitted_at":"2016-01-04T01:34:06Z","abstract_excerpt":"Let $M$ be a Cartan-Hadamard manifold with sectional curvature satisfying $-b^2\\leq K\\leq -a^2<0$, $b\\geq a>0.$ Denote by $\\partial_{\\infty}M$ the asymptotic boundary of $M$ and by $\\bar M:= M\\cup\\partial_\\infty M$ the geometric compactification of $M$ with the cone topology. 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