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Let $\\omega\\in C^2(N),$ $\\omega> 0.$\n  The warped product $ M\\times _\\omega K$ is the $ (m+k)$-dimensional product manifold $M\\times K$ furnished with metric $ g+\\omega^2 \\kappa.$ We prove that the supercritical problem $$-\\Delta _{g+\\omega^2 \\kappa}u+h u=u^{ {m+2\\over m-2} \\pm\\varepsilon},\\ u>0,\\ \\hbox{in}\\ (M\\times _\\omega K,g+\\omega^2 \\kappa)$$ has a solution which concentrate along a $k$-dimensional minimal submanifold $\\Gamma$ of $M\\times _\\omega N$ as the real parameter $\\varepsilon$ goes 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":"1401.5411","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-01-21T18:19:13Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"083e661021e0df6f31ea6bff866faf4ca363c9c7f5b819da26b060deb44e232e","abstract_canon_sha256":"a3fc7073f71800e662302fa94ece09a415fb70018256d20caf898a5a3f4982dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:01:33.894477Z","signature_b64":"mOay9q+T1exn/ylTdY1af2VzUiXzXoXc9aocsixDh9xxc+NXsW3MpyN2cQYN1uNIU0c1MLKUH6t41focc0d1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e89c9f06b9dc9cf3cf6f28cc89f5643efc067c81e289b829db831eb9731b564e","last_reissued_at":"2026-05-18T03:01:33.893820Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:01:33.893820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Blowing-up solutions concentrating along minimal submanifolds for some supercritical elliptic problems on Riemannian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Angela Pistoia, Anna Maria Micheletti, Marco Ghimenti","submitted_at":"2014-01-21T18:19:13Z","abstract_excerpt":"Let $(M,g)$ and $(K,\\kappa)$ be two Riemannian manifolds of dimensions $m$ and $k ,$ respectively. 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