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Alves, Fashun Gao, Marco Squassina, Minbo Yang","submitted_at":"2016-11-06T00:59:29Z","abstract_excerpt":"In this paper we study the semiclassical limit for the singularly perturbed Choquard equation\n  $$\n  -\\vr^2\\Delta u +V(x)u =\\vr^{\\mu-3}\\Big(\\int_{\\R^3} \\frac{Q(y)G(u(y))}{|x-y|^\\mu}dy\\Big)Q(x)g(u) \\quad \\mbox{in $\\R^3$},\n  $$ where $0<\\mu<3$, $\\vr$ is a positive parameter, $V,Q$ are two continuous real function on $\\R^3$ and $G$ is the primitive of $g$ which is of critical growth due to the Hardy-Littlewood-Sobolev inequality. Under suitable assumptions on the nonlinearity $g$, we first establish the existence of ground states for the critical Choquard equation with constant coefficients in $\\"},"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":"1611.01712","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-06T00:59:29Z","cross_cats_sorted":[],"title_canon_sha256":"7b333fe6abb9dbf626b5a73d1f1ea131a9beae6611226f5e4f2240da31d17d1e","abstract_canon_sha256":"48e1d557995de6be007e61475fedc8b84e9a0f72429b4c67754099db20da6a0a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:38.802168Z","signature_b64":"ZBjxL9w32a6ftk0lRdYqq4GBpQrxVO1uj9Mx3EPoQAmKohoBt8gPvO2n6dQTx2uvqvek4k/inmnv8r9kJlfTDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7db4529ac4a4ea75aaaea41a21dddd0ef776580139ad6a76b069170a8c621f8f","last_reissued_at":"2026-05-18T00:44:38.801571Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:38.801571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Singularly perturbed critical Choquard equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Claudianor O. 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