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We establish the uniqueness of the radial bound state solutions to $$ {div}\\big(\\mathsf A\\,\\nabla v\\big)+\\mathsf B\\,f(v)=0\\,,\\quad\\lim_{|x|\\to+\\infty}v(x)=0,\\quad x\\in\\mathbb R^n,$$ $n>2$, where $\\mathsf A$ and $\\mathsf B$ are two positive, radial, smooth functions defined on $\\mathbb R^n\\setminus\\{0\\}$.\n  We assume that the nonlinearity $f\\in C(-c,c)$, $0<c\\le\\infty$ is an odd function satisfying some convexity and growth conditions, and has a zero at $b>0$, is non positive and not identically 0"},"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":"1809.07711","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-20T16:03:00Z","cross_cats_sorted":[],"title_canon_sha256":"bd9127c6bf528493420dfa99b207c193b04fad5d6b291caa85ca04860c44affc","abstract_canon_sha256":"c2572f54345586256e2c02597815cedb5ca0fa9ddb01e1b89a679eea55da997b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:22.357545Z","signature_b64":"qfkUXthNQrae5AXqsiTv+o0XAcruiREtx6bBNMNpFvLVU/677xPKOdPaQ++TKSZ99G0yN4sGR+MEbEMHJpJpBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"28b1ecb05b6ca40ce709c3921a0ea4e9a437e70221fc4b92612f77d85977adf7","last_reissued_at":"2026-05-17T23:44:22.356856Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:22.356856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the uniqueness of bound state solutions of a semilinear equation with weights","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carmen Cortazar, Marta Garcia-Huidobro, Pilar Herreros","submitted_at":"2018-09-20T16:03:00Z","abstract_excerpt":"We consider radial solutions of a general elliptic equation involving a weighted Laplace operator. 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