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The admissible subsolution families are convex but not cones; nevertheless, the dual measures remain the homogeneous Jensen measures, and the right-hand side enters through a scalar Jensen deficit \\[\n  B_{\\mathcal{A}}(x,\\mu) =\n  \\inf_{u\\in\\mathcal{A}}\n  \\left(\\int_{\\partial\\Omega}u\\,d\\mu-u(x)\\right). \\] Under natural structural hypotheses we prove a boundary dual formula \\[\n  \\sup\\{u(x):u\\in\\mathcal{A},\\ u\\leq\\varphi\\text{ on }E\\}\n  =\n  \\inf_{\\mu\\in J_x^\\partial"},"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":"2606.09492","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2026-06-08T13:46:26Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"2f4ee129896eafc06143a5eb26116cb606abd43da62de4502fa4ff9a721fef7c","abstract_canon_sha256":"bbc113eb98b7ab392c2d7caf5d1ed30eb28dc85e2cf217e1c844e317d6c14d5f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:08:51.537014Z","signature_b64":"+dww7Fl4SBb+Z57EZ38b4z+bSnB+5JQkSlI18Aaj2bUVJqwBM/UnOV9e/tZICIkakcO8kIfl4OKjQU+EgkbkBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"320a607b0b76bc6273a6cf5090cba43d12e997297e725c4b79f21bbadbce4db0","last_reissued_at":"2026-06-09T02:08:51.536168Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:08:51.536168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Jensen Deficits for Inhomogeneous Monge-Amp\\`ere Dirichlet Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.CV","authors_text":"Frank Wikstr\\\"om","submitted_at":"2026-06-08T13:46:26Z","abstract_excerpt":"We develop an inhomogeneous form of Edwards' Jensen-measure duality for Perron envelopes constrained by Monge--Amp\\`ere lower bounds. 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