{"paper":{"title":"A multiplicity result for Chern-Simons-Schr\\\"odinger equation with a general nonlinearity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alessio Pomponio, Gaetano Siciliano, Patricia L. Cunha, Pietro d'Avenia","submitted_at":"2014-07-24T16:05:01Z","abstract_excerpt":"In this paper we give a multiplicity result for the following Chern-Simons-Schr\\\"odinger equation \\[ -\\Delta u+2q u \\int_{|x|}^{\\infty}\\frac{u^{2}(s)}{s}h_u(s)ds +q u\\frac{h^{2}_u(|x|)}{|x|^{2}} = g(u), \\quad\\hbox{in }\\mathbb{R}^2, \\] where $\\displaystyle h_u(s)=\\int_0^s \\tau u^2(\\tau) \\ d \\tau$, under very general assumptions on the nonlinearity $g$. In particular, for every $n\\in \\mathbb N$, we prove the existence of (at least) $n$ distinct solutions, for every $q\\in (0,q_{n})$, for a suitable $q_n$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.6629","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"}