{"paper":{"title":"A non-variational system involving the critical Sobolev exponent. The radial case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Christophe Troestler, Francesca Gladiali, Massimo Grossi","submitted_at":"2016-03-17T19:47:49Z","abstract_excerpt":"In this paper we consider the non-variational system $$\n  \\begin{cases}\n  -\\Delta u_i = \\sum\\limits_{j=1}^k a_{ij} u_j^{(N+2)/(N-2)}\n  &\\text{in }\\mathbb R^N,\\newline\n  u_i>0 &\\text{in }\\mathbb R^N,\\newline\n  u_i\\in D^{1,2}(\\mathbb R^N).\n  \\end{cases} $$ and we give some sufficient conditions on the matrix $(a_{ij})_{i,j=1,\\dotsc ,k}$ which ensure the existence of solutions bifurcating from the bubble of the critical Sobolev equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05641","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"}