{"paper":{"title":"Nonlocal elliptic problems with nonlinear argument transformations near the points of conjugation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Pavel Gurevich","submitted_at":"2014-04-18T18:47:32Z","abstract_excerpt":"We consider elliptic equations of order $2m$ in a domain $G\\subset\\mathbb R^n$ with nonlocal conditions that connect the values of the unknown function and its derivatives on $(n-1)$-dimensional submanifolds $\\Upsilon_i$ (where $\\bigcup_i\\Upsilon_i=\\partial G$) with the values on $\\omega_{is}(\\overline\\Upsilon_i)\\subset\\overline G$. Nonlocal elliptic problems in dihedral angles arise as model problems near the conjugation points $g\\in\\overline\\Upsilon_i\\cap\\Upsilon_j\\ne\\varnothing$, $i\\ne j$. We study the case where the transformations $\\omega_{is}$ correspond to nonlinear transformations in t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4854","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"}