{"paper":{"title":"On Concentration of least energy solutions for magnetic critical Choquard equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"K. Sreenadh, Tuhina Mukherjee","submitted_at":"2016-11-17T01:46:09Z","abstract_excerpt":"In the present paper, we consider the following magnetic nonlinear Choquard equation $$ \\left\\{\n  \\begin{array}{ll}\n  & (-i \\nabla+A(x))^2u + \\mu g(x)u = \\lambda u + (|x|^{-\\alpha} * |u|^{2^*_\\alpha})|u|^{2^*_\\alpha-2}u ,\\; u>0 \\;\\text{in} \\; \\mathbb{ R}^n ,\n  & u \\in H^1(\\mathbb{R}^n, \\mathbb{ C})\n  \\end{array} \\right\\}.$$ where $n \\geq 4$, $2^*_\\alpha= \\frac{2n-\\alpha}{n-2}$, $\\lambda>0$, $\\mu \\in \\mathbb{ R}$ is a parameter, $\\alpha \\in (0,n)$, $A(x): \\mathbb{R}^n \\rightarrow \\mathbb{ R}^n$ is a magnetic vector potential and $g(x)$ is a real valued potential function on $\\mathbb{R}^n$. Usin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05528","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"}