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Sreenadh, Pawan Kumar Mishra, Sarika Goyal","submitted_at":"2016-04-01T07:20:09Z","abstract_excerpt":"\\noi In this article, we study the existence of non-negative solutions of the following polyharmonic Kirchhoff type problem with critical singular exponential nolinearity $$ \\quad \\left\\{ \\begin{array}{lr}\n  \\quad -M\\left(\\displaystyle\\int_\\Omega |\\nabla^m u|^{\\frac{n}{m}}dx\\right)\\Delta_{\\frac{n}{m}}^{m} u = \\frac{f(x,u)}{|x|^\\alpha} \\; \\text{in}\\; \\Om{,}\n  \\quad \\quad u = \\nabla u=\\cdot\\cdot\\cdot= {\\nabla}^{m-1} u=0 \\quad \\text{on} \\quad \\partial \\Om{,} \\end{array} \\right. $$ where $\\Om\\subset \\mb R^n$ is a bounded domain with smooth boundary, $n\\geq 2m\\geq 2$ and $f(x,u)$ behaves like $e^{|"},"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":"1604.00155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-04-01T07:20:09Z","cross_cats_sorted":[],"title_canon_sha256":"71ffea17f727c203079048f8e895231c64a12f0e58a079909c856842f8df555e","abstract_canon_sha256":"1cdd16b4a1a46bd028fb2d7ef9ff4525fed16a89f74f441ab27820d7753c4202"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:54.427367Z","signature_b64":"fzXCFKkHWEF5z1QxJGCiAsF/phL6i+IQRcphv43RUx54s/0NN2VemnCP2xySqRrtbkOAsJaw/gcXEZvvmLrZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8c1f71a4a6ab2122d0cc2681093461b3aad36f5f4a9f8ff946011577c24cb38","last_reissued_at":"2026-05-18T01:17:54.426734Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:54.426734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polyharmonic Kirchhoff type equations with singular exponential nonlinearities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"K. 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