{"paper":{"title":"Ground state solutions for a semilinear elliptic problem with critical-subcritical growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Claudianor O. Alves, Grey Ercole, Mario.D. Huam\\'an Bol\\~anos","submitted_at":"2017-07-25T10:25:35Z","abstract_excerpt":"In this work, we study the of positive ground state solution for the semilinear elliptic problem $$ \\left\\{ \\begin{array} [c]{ll}% -\\Delta u=u^{p(x)-1},\\quad u>0 & \\mathrm{in}\\,G\\subseteq\\mathbb{R}^{N}% ,\\,N\\geq3\\\\ u\\in D_{0}^{1,2}(G), & \\end{array} \\right. $$ where $G$ is either $\\mathbb{R}^{N}$ or a bounded domain, and $p:G\\rightarrow \\mathbb{R}$ is a continuous function assuming critical and subcritical values."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07898","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"}