{"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. As its supplementary results, we prove some nonexiste"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06732","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"}