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We\n  prove some Liouville type results for stable solution and improve the previous works \\cite{co, Fa, HU}. In particular, we establish a new comparison property\n  (see Proposition 1.1 below) which is cruc","authors_text":"Abdellaziz Harrabi, Foued Mtiri, Hatem Hajlaoui","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-20T19:51:05Z","title":"Liouville theorems for stable solutions of the weighted Lane-Emden system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.06736","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6f075fa215e6bb8075f24601745d3cdb2b0e71862efaef959932ea0ba2478184","target":"record","created_at":"2026-05-18T01:26:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"645ddfa48b565c7d751329dccb697c32eecd8300139cc24fec830dfb22a9b9b6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-20T19:51:05Z","title_canon_sha256":"cbc7d0b2f8ea4d15c38701e6e768ab733b522f5c9b45b5d2057d67bfec29a3a0"},"schema_version":"1.0","source":{"id":"1511.06736","kind":"arxiv","version":1}},"canonical_sha256":"85a3002ef9959edc6b250891310e21c517663a0f14e21afa822f1a59e3ab16e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85a3002ef9959edc6b250891310e21c517663a0f14e21afa822f1a59e3ab16e0","first_computed_at":"2026-05-18T01:26:23.939537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:23.939537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k/NeszctTVcPJuMpIxzvwz2annPLPJiAelrHUjtCR/nb0Vg9PbEbIVbsOmvjic+/Y7FzKCmgFhz8jYtVRS0fDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:23.940027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.06736","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f075fa215e6bb8075f24601745d3cdb2b0e71862efaef959932ea0ba2478184","sha256:8f323bbf5e5d449fe02c584a1f17d3f1117b427bd6a03c1116720fd024a805be"],"state_sha256":"1920b05abd5049136e04f7422170a53ff0ac9e05dc62592c8f1c35710eea0bce"}