{"paper":{"title":"Existence and concentration of positive ground state solutions for nonlinear fractional Schr\\\"odinger-Poisson system with critical growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Kaimin Teng, Ravi P. Agarwal","submitted_at":"2017-02-17T15:31:02Z","abstract_excerpt":"In this paper, we study the following fractional Schr\\\"{o}dinger-Poisson system involving competing potential functions \\begin{equation*} \\left\\{\n  \\begin{array}{ll}\n  \\varepsilon^{2s}(-\\Delta)^su+V(x)u+\\phi u=K(x)f(u)+Q(x)|u|^{2_s^{\\ast}-2}u, & \\hbox{in $\\mathbb{R}^3$,}\n  \\varepsilon^{2t}(-\\Delta)^t\\phi=u^2,& \\hbox{in $\\mathbb{R}^3$,}\n  \\end{array} \\right. \\end{equation*} where $\\varepsilon>0$ is a small parameter, $f$ is a function of $C^1$ class, superlinear and subcritical nonlinearity, $2_s^{\\ast}=\\frac{6}{3-2s}$, $s>\\frac{3}{4}$, $t\\in(0,1)$, $V(x)$ $K(x)$ and $Q(x)$ are positive continu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05387","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":""},"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"}