{"paper":{"title":"Removable Sets for H\\\"older Continuous p(x)-Harmonic Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"A. Lyaghfouri","submitted_at":"2011-01-02T17:32:40Z","abstract_excerpt":"We establish that a closed set $E$ is removable for $C^{0,\\alpha}$ H\\\"{o}lder continuous $p(x)$-harmonic functions in a bounded open domain $\\Omega$ of $\\mathbb{R}^n$, $n\\geq 2$, provided that for each compact subset $K$ of $E$, the $(n-p_K+\\alpha(p_K-1))$-Hausdorff measure of $K$ is zero, where $p_K=\\max_{x\\in K} p(x)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0418","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"}