{"paper":{"title":"Nonlinear Elliptic Dirichlet and No-Flux Boundary Value Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Klaus Schmitt, Loc Hoang Nguyen","submitted_at":"2012-06-18T08:52:47Z","abstract_excerpt":"This paper is devoted to establishing results for semilinear elliptic boundary value problems where the solvability of problems subject to {\\it No Flux} boundary conditions follows from the solvability of related {\\it Dirichlet} boundary value problems. Throughout it is assumed that the nonlinear perturbation terms are gradient dependent. An extension of \\textit{No-Flux} problems is discussed, as well."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3851","kind":"arxiv","version":2},"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"}