{"paper":{"title":"On fractional Schrodinger systems of Choquard type","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Santosh Bhattarai","submitted_at":"2016-05-23T05:07:47Z","abstract_excerpt":"In this article, we first employ the concentration compactness techniques to prove existence and stability results of standing waves for nonlinear fractional Schr\\\"{o}dinger-Choquard equation \\[ i\\partial_t\\Psi + (-\\Delta)^{\\alpha}\\Psi = a |\\Psi|^{s-2}\\Psi+\\lambda \\left( \\frac{1}{|x|^{N-\\beta}} \\star |\\Psi|^p \\right)|\\Psi|^{p-2}\\Psi\\ \\ \\ \\mathrm{in}\\ \\mathbb{R}^{N+1}, \\] where $N\\geq 2$, $\\alpha\\in (0,1)$, $\\beta\\in (0, N)$, $s\\in (2, 2+\\frac{4\\alpha}{N})$, $p\\in [2, 1+\\frac{2\\alpha+\\beta}{N})$, and the constants $a, \\lambda$ are nonnegative satisfying $a+\\lambda > 0.$ We then extend the argum"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06896","kind":"arxiv","version":3},"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"}