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We prove the existence of multi-bubble nodal solutions that blow up positively at the origin and negatively at a different point as $\\epsilon\\to0$ and $\\mu=\\epsilon^\\alpha$ with $\\alpha>\\frac{N-4}{N-2}$. In the case of $\\Omega$ being a ball "},"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":"1508.04007","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-17T12:58:01Z","cross_cats_sorted":[],"title_canon_sha256":"8e1e5945893b2328d52d0a900e2fc661f40280eea0b32b5f95d783be20db453b","abstract_canon_sha256":"0bee88a807e2d860ee94eb9900754af2302f9485f50feec7568c72976520364b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:13.047734Z","signature_b64":"z3YZmPPy4CUpWGjAX/lqZ/qioQ9qoksqSuVLP3gtCnqD0XEL/zGlo0CdWNmdHNKisiY/PAxGoNFfgFfZu54JCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bce2c05a4e51901ee76b3c42f115d7216553f80953fb9c89c644eadb6a069938","last_reissued_at":"2026-05-18T01:35:13.047052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:13.047052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Qianqiao Guo, Thomas Bartsch","submitted_at":"2015-08-17T12:58:01Z","abstract_excerpt":"The paper is concerned with the slightly subcritical elliptic problem with Hardy term \\[ \\left\\{ \\begin{aligned} -\\Delta u-\\mu\\frac{u}{|x|^2} &= |u|^{2^{\\ast}-2-\\epsilon}u &&\\quad \\text{in } \\Omega, \\\\\\ u &= 0&&\\quad \\text{on } \\partial\\Omega, \\end{aligned} \\right. \\] in a bounded domain $\\Omega\\subset\\mathbb{R}^N$ with $0\\in\\Omega$, in dimensions $N\\ge7$. We prove the existence of multi-bubble nodal solutions that blow up positively at the origin and negatively at a different point as $\\epsilon\\to0$ and $\\mu=\\epsilon^\\alpha$ with $\\alpha>\\frac{N-4}{N-2}$. 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