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Sreenadh, Nidhi Nidhi","submitted_at":"2026-05-25T12:34:08Z","abstract_excerpt":"In this paper we study the normalized solutions of the following critical growth Choquard equation with mixed local and non-local operators:\n  \\begin{equation*}\n  \\begin{array}{rcl}\n  -\\Delta_p u +(-\\Delta_p)^s u & = & \\lambda |u|^{p-2}u +\\mu |u|^{q-2}u +(I_{\\alpha}*|u|^{p^*_{\\alpha}})|u|^{p^*_{\\alpha}-2}u \\text{ in } \\mathbb{R}^N;\n  \\left\\| u \\right\\|_p & = & \\tau.\n  \\end{array}\n  \\end{equation*}\n  Here, $N\\geq 3$, $2 \\le p<N$, $\\tau>0$, $I_{\\alpha}$ is the Riesz potential of order $\\alpha\\in (\\max\\{0,N-2p\\}, N)$, $p^*_{\\alpha}=\\frac{p}{2}\\left(\\frac{N+\\alpha}{N-p}\\right)$ is the critical exp"},"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":"2605.25787","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2026-05-25T12:34:08Z","cross_cats_sorted":[],"title_canon_sha256":"b9ec28374081a8901342efd04bf83ca3568a7a06f0b0f0426f7aeed8562827b8","abstract_canon_sha256":"6179d4795e404669a07c2169a337dcc28782d02edeb59c1c5bb6bb7309622300"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-26T02:05:11.620185Z","signature_b64":"2yBYSDk8MCibisMDJoOpce/CYIEGRxwOvRmRFMTGgRG0Xrp+dem4NrjOtSrp0cujp/DpwAQGmnRIw9rVH3pjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3735cf7a9c57584a8b32e73077bd81ddab20a743ab64fb062e79fe06abcc80eb","last_reissued_at":"2026-05-26T02:05:11.619463Z","signature_status":"signed_v1","first_computed_at":"2026-05-26T02:05:11.619463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multiplicity of solutions with prescribed mass for a quasilinear critical Choquard equation driven by a local-nonlocal operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"J. 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Sreenadh, Nidhi Nidhi","submitted_at":"2026-05-25T12:34:08Z","abstract_excerpt":"In this paper we study the normalized solutions of the following critical growth Choquard equation with mixed local and non-local operators:\n  \\begin{equation*}\n  \\begin{array}{rcl}\n  -\\Delta_p u +(-\\Delta_p)^s u & = & \\lambda |u|^{p-2}u +\\mu |u|^{q-2}u +(I_{\\alpha}*|u|^{p^*_{\\alpha}})|u|^{p^*_{\\alpha}-2}u \\text{ in } \\mathbb{R}^N;\n  \\left\\| u \\right\\|_p & = & \\tau.\n  \\end{array}\n  \\end{equation*}\n  Here, $N\\geq 3$, $2 \\le p<N$, $\\tau>0$, $I_{\\alpha}$ is the Riesz potential of order $\\alpha\\in (\\max\\{0,N-2p\\}, N)$, $p^*_{\\alpha}=\\frac{p}{2}\\left(\\frac{N+\\alpha}{N-p}\\right)$ is the critical exp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.25787","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.25787/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2605.25787","created_at":"2026-05-26T02:05:11.619579+00:00"},{"alias_kind":"arxiv_version","alias_value":"2605.25787v1","created_at":"2026-05-26T02:05:11.619579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.25787","created_at":"2026-05-26T02:05:11.619579+00:00"},{"alias_kind":"pith_short_12","alias_value":"G42466U4K5ME","created_at":"2026-05-26T02:05:11.619579+00:00"},{"alias_kind":"pith_short_16","alias_value":"G42466U4K5MEVCZS","created_at":"2026-05-26T02:05:11.619579+00:00"},{"alias_kind":"pith_short_8","alias_value":"G42466U4","created_at":"2026-05-26T02:05:11.619579+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/G42466U4K5MEVCZS44YHPPMB3W","json":"https://pith.science/pith/G42466U4K5MEVCZS44YHPPMB3W.json","graph_json":"https://pith.science/api/pith-number/G42466U4K5MEVCZS44YHPPMB3W/graph.json","events_json":"https://pith.science/api/pith-number/G42466U4K5MEVCZS44YHPPMB3W/events.json","paper":"https://pith.science/paper/G42466U4"},"agent_actions":{"view_html":"https://pith.science/pith/G42466U4K5MEVCZS44YHPPMB3W","download_json":"https://pith.science/pith/G42466U4K5MEVCZS44YHPPMB3W.json","view_paper":"https://pith.science/paper/G42466U4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2605.25787&json=true","fetch_graph":"https://pith.science/api/pith-number/G42466U4K5MEVCZS44YHPPMB3W/graph.json","fetch_events":"https://pith.science/api/pith-number/G42466U4K5MEVCZS44YHPPMB3W/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G42466U4K5MEVCZS44YHPPMB3W/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G42466U4K5MEVCZS44YHPPMB3W/action/storage_attestation","attest_author":"https://pith.science/pith/G42466U4K5MEVCZS44YHPPMB3W/action/author_attestation","sign_citation":"https://pith.science/pith/G42466U4K5MEVCZS44YHPPMB3W/action/citation_signature","submit_replication":"https://pith.science/pith/G42466U4K5MEVCZS44YHPPMB3W/action/replication_record"}},"created_at":"2026-05-26T02:05:11.619579+00:00","updated_at":"2026-05-26T02:05:11.619579+00:00"}