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Under certain assumptions on $V$, a nontrivial ground state solution $(u,\\phi)$ is established through using a monotonicity trick and global compactness Lemma. As its supplementary results, we prove some nonexiste"},"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":"1605.06732","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2016-05-22T04:21:19Z","cross_cats_sorted":[],"title_canon_sha256":"141c04e721d254d64be47ec8e39b143688ea5724e48ee296d3aa83864138b28a","abstract_canon_sha256":"316ecb0d41643ad02d9d0c66c3ed41606aa8fd3b9236cab8d97a193b2b511552"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:05.515305Z","signature_b64":"d5wckBdlw09vKZ1N5xY3mddDGeZzResHZIZS+jv21Cq69eorI/oJDh1HGRFfJzfPCjood0XJvKtu3dGQz1RGAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93281190c79a025ff25951a9f6c7b640564559bd0e7b0b1c681887b24046a6a8","last_reissued_at":"2026-05-18T01:04:05.514878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:05.514878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ground state solutions for the nonlinear fractional Schrodinger-Poisson system","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kaimin Teng","submitted_at":"2016-05-22T04:21:19Z","abstract_excerpt":"In this paper, we study the existence of ground state solutions for the nonlinear fractional Schr\\\"{o}dinger-Poisson system \\begin{equation*} \\left\\{ \\begin{array}{ll} (-\\Delta)^su+V(x)u+\\phi u=|u|^{p-1}u, & \\hbox{in $\\mathbb{R}^3$,} (-\\Delta)^s\\phi=u^2,& \\hbox{in $\\mathbb{R}^3$,} \\end{array} \\right. \\end{equation*} where $2<p<2_s^{\\ast}-1 = \\frac{3+2s}{3-2s}$, $s\\in(\\frac{3}{4},1)$. Under certain assumptions on $V$, a nontrivial ground state solution $(u,\\phi)$ is established through using a monotonicity trick and global compactness Lemma. 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