{"paper":{"title":"Nonnegative solutions of some quasilinear elliptic inequalities and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Enzo Mitidieri, Lorenzo D'Ambrosio","submitted_at":"2010-05-25T20:10:58Z","abstract_excerpt":"Let $f :\\R\\to\\R$ be a continuous function. We prove that under some additional assumptions on $f$ and $A:\\R\\to\\R_{+}$, weak $\\Cuno$ solutions of the differential inequality $-\\diver(A(\\abs{\\nabla u})\\nabla u)\\ge f(u)$ on $\\RN$ are nonnegative. Some extensions of the result in the framework of subelliptic operators on Carnot Groups are considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.4689","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"}