{"paper":{"title":"Ground state solutions to Born-Infeld-Choquard problem","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jaros{\\l}aw Mederski, Xiangjian Zeng","submitted_at":"2026-06-14T15:26:15Z","abstract_excerpt":"In this paper, we investigate the existence and qualitative properties of ground state solutions for the nonlocal Born-Infeld-Choquard problem\n  \\begin{equation*}\n  \\begin{cases}\n  -{\\rm div}\\left(\\frac{\\nabla u}{\\sqrt{1-|\\nabla u|^2}}\\right)+ \\omega u=\\big(I_\\alpha\\ast |u|^{p}\\big)|u|^{p-2}u, & \\hbox{in }\\mathbb{R}^N,\\; N\\geq 3,\n  \\\\[5mm]\n  u(x)\\to 0, &\\hbox{as }|x|\\to +\\infty.\n  \\end{cases}\n  \\end{equation*}\n  where $p>\\frac{N+\\alpha}{N}$, $\\omega=0,1$ and $0<\\alpha<N$.\n  The equation is driven by the mean curvature operator in Lorentz-Minkowski space, motivated by the Born-Infeld nonlinear "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.15858","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.15858/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}