{"paper":{"title":"Multiple solutions for a Neumann system involving subquadratic nonlinearities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alexandru Krist\\'aly, Du\\v{s}an Repov\\v{s}","submitted_at":"2016-02-12T18:28:40Z","abstract_excerpt":"In this paper we consider the model semilinear Neumann system $$\\left\\{ \\begin{array}{lll} -\\Delta u+a(x)u=\\lambda c(x) F_u(u,v)& {\\rm in} & \\Omega,\\\\ -\\Delta v+b(x)v=\\lambda c(x) F_v(u,v)& {\\rm in} & \\Omega,\\\\ \\frac{\\partial u}{\\partial \\nu}=\\frac{\\partial v}{\\partial \\nu}=0 & {\\rm on} & \\partial\\Omega, \\end{array}\\right.$$ where $\\Omega\\subset \\mathbb R^N$ is a smooth open bounded domain, $\\nu$ denotes the outward unit normal to $\\partial \\Omega$, $\\lambda\\geq 0$ is a parameter, $a,b,c\\in L_+^\\infty(\\Omega)\\setminus\\{0\\},$ and $F\\in C^1(\\mathbb{R}^2,\\mathbb{R})\\setminus\\{0\\}$ is a nonnegativ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04148","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"}