{"paper":{"title":"On doubly nonlocal $p$-fractional coupled elliptic system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"K. Sreenadh, T. Mukherjee","submitted_at":"2017-04-23T11:08:20Z","abstract_excerpt":"\\noi We study the following nonlinear system with perturbations involving p-fractional Laplacian \\begin{equation*} (P)\\left\\{ \\begin{split} (-\\De)^s_p u+ a_1(x)u|u|^{p-2} &= \\alpha(|x|^{-\\mu}*|u|^q)|u|^{q-2}u+ \\beta (|x|^{-\\mu}*|v|^q)|u|^{q-2}u+ f_1(x)\\; \\text{in}\\; \\mb R^n,\\\\ (-\\De)^s_p v+ a_2(x)v|v|^{p-2} &= \\gamma(|x|^{-\\mu}*|v|^q)|v|^{q-2}v+ \\beta (|x|^{-\\mu}*|u|^q)|v|^{q-2}v+ f_2(x)\\; \\text{in}\\; \\mb R^n, \\end{split} \\right. \\end{equation*} where $n>sp$, $0<s<1$, $p\\geq2$, $\\mu \\in (0,n)$, $\\frac{p}{2}\\left( 2-\\frac{\\mu}{n}\\right) < q <\\frac{p^*_s}{2}\\left( 2-\\frac{\\mu}{n}\\right)$, $\\alph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.06908","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"}