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We will prove that this problem has infinitely many non-radial sign-changing solutions."},"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":"1408.3187","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-08-14T03:24:36Z","cross_cats_sorted":[],"title_canon_sha256":"7d0f6875090fe0c89d78d9a82137727db08069038d63c80149bc21536d7f0938","abstract_canon_sha256":"bdb86262e24f00a693e60b8c584699801aad04ae4a9be601564f529bcadb9b0b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:13.602197Z","signature_b64":"BhO/eEObMs5vmbBtKNrNEVZrpyqBx/Wj5r7QODCfkzXrApsFVaVHK7tDutn29XD7GoOo1sTpdSbjTIW0EdRLBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edb1b48739b4c5b77fb6874463c79ef97372f9e598d0191e5be91855ca2d6b08","last_reissued_at":"2026-05-18T02:45:13.601453Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:13.601453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Infinitely many non-radial sign-changing solutions for a Fractional Laplacian equation with critical nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Fei Fang","submitted_at":"2014-08-14T03:24:36Z","abstract_excerpt":"In this work, the following fractional Laplacian problem with pure critical nonlinearity is considered \\begin{equation*} \\left\\{ \\begin{array}{ll} (-\\Delta)^{s} u=|u|^{\\frac{4s}{N-2s}}u, &\\mbox{in}\\ \\mathbb{R}^N, \\\\ u\\in \\mathcal{D}^{s,2}(\\mathbb{R}^N), \\end{array} \\right. \\end{equation*} where $s\\in (0,1)$, $N$ is a positive integer with $N\\geq 3$, $(-\\Delta)^{s}$ is the fractional Laplacian operator. 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