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Moreover, we derive Besov regularity for solutions of a class of special harmonic equations by making use of $W^{1,p}$ estimate.\n  Keywords: global weighted $W^{1,p}$ estimates; quasilinear equations; Besov regularity"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1907.00353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-06-30T10:10:00Z","cross_cats_sorted":[],"title_canon_sha256":"4bdb35b54643f6cf1c56ee88424f24ab56900e272c221d960f4a6c73e71ef996","abstract_canon_sha256":"7e2659692a4886727672957953e524c3c566005bd92cdb3b13748068483e5476"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:52.034945Z","signature_b64":"1B85Mw6NlOAHIfFrs08c874oK/4sKD9yyl0o0V6+xI5dX6mn/98QCsoAv5qg67VhKSv/ibkPUhZelBu9/btoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c2c6abf06f6d1eb25ed7e4e7a50f8c2be508b2d2a5d9c12a26a44c1fe7a8a6c","last_reissued_at":"2026-05-17T23:41:52.034355Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:52.034355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global weighted gradient estimates for nonlinear p-Laplacian type elliptic equations and its application","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Xuehui Hao","submitted_at":"2019-06-30T10:10:00Z","abstract_excerpt":"We obtain the global weighted $W^{1,p}$ estimates for weak solutions of nonlinear elliptic equations over Reifenberg flat domains. 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