{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5M4BNWFTJCCVPGG2RVIPKJPL4C","short_pith_number":"pith:5M4BNWFT","schema_version":"1.0","canonical_sha256":"eb3816d8b348855798da8d50f525ebe099d905dffba1b71a3b31f4fcc7cee158","source":{"kind":"arxiv","id":"1703.00183","version":1},"attestation_state":"computed","paper":{"title":"Existence and asymptotic behavior for the ground state of quasilinear elliptic equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Xiaoyu Zeng, Yimin Zhang","submitted_at":"2017-03-01T08:47:19Z","abstract_excerpt":"In this paper, we are concerned with the existence and asymptotic behavior of minimizers for a minimization problem related to some quasilinear elliptic equations. Firstly, we proved that there exist minimizers when the exponent $q$ equals to the critical case $q^*=2+\\frac{4}{N}$, which is different from that of \\cite{cjs}. Then, we proved that all minimizers are compact as $q$ tends to the critical case $q^*$ when $a<a^*$ is fixed. Moreover, we studied the concentration behavior of minimizers as the exponent $q$ tends to the critical case $q^*$ for any fixed $a>a^*$."},"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":"1703.00183","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-03-01T08:47:19Z","cross_cats_sorted":[],"title_canon_sha256":"139f5f840d981a0a426fdef1d86c50057f25d937f696a23b41d12839ecbafbce","abstract_canon_sha256":"d212631bcae37bd87a72e7b8b8c08e1f1627e3e641bbeadaece66dd02ac7712a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:45.717027Z","signature_b64":"4e5BLrEEpPeFdRuXekfXaIoOatGaxNuC/XmpSJFtEM7PjDypduUFVI8EQxAQdl8MD9jFs4rcofesFzDtoLpPBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eb3816d8b348855798da8d50f525ebe099d905dffba1b71a3b31f4fcc7cee158","last_reissued_at":"2026-05-18T00:49:45.716334Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:45.716334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Existence and asymptotic behavior for the ground state of quasilinear elliptic equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Xiaoyu Zeng, Yimin Zhang","submitted_at":"2017-03-01T08:47:19Z","abstract_excerpt":"In this paper, we are concerned with the existence and asymptotic behavior of minimizers for a minimization problem related to some quasilinear elliptic equations. Firstly, we proved that there exist minimizers when the exponent $q$ equals to the critical case $q^*=2+\\frac{4}{N}$, which is different from that of \\cite{cjs}. Then, we proved that all minimizers are compact as $q$ tends to the critical case $q^*$ when $a<a^*$ is fixed. Moreover, we studied the concentration behavior of minimizers as the exponent $q$ tends to the critical case $q^*$ for any fixed $a>a^*$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.00183","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.00183","created_at":"2026-05-18T00:49:45.716456+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.00183v1","created_at":"2026-05-18T00:49:45.716456+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.00183","created_at":"2026-05-18T00:49:45.716456+00:00"},{"alias_kind":"pith_short_12","alias_value":"5M4BNWFTJCCV","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_16","alias_value":"5M4BNWFTJCCVPGG2","created_at":"2026-05-18T12:31:00.734936+00:00"},{"alias_kind":"pith_short_8","alias_value":"5M4BNWFT","created_at":"2026-05-18T12:31:00.734936+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/5M4BNWFTJCCVPGG2RVIPKJPL4C","json":"https://pith.science/pith/5M4BNWFTJCCVPGG2RVIPKJPL4C.json","graph_json":"https://pith.science/api/pith-number/5M4BNWFTJCCVPGG2RVIPKJPL4C/graph.json","events_json":"https://pith.science/api/pith-number/5M4BNWFTJCCVPGG2RVIPKJPL4C/events.json","paper":"https://pith.science/paper/5M4BNWFT"},"agent_actions":{"view_html":"https://pith.science/pith/5M4BNWFTJCCVPGG2RVIPKJPL4C","download_json":"https://pith.science/pith/5M4BNWFTJCCVPGG2RVIPKJPL4C.json","view_paper":"https://pith.science/paper/5M4BNWFT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.00183&json=true","fetch_graph":"https://pith.science/api/pith-number/5M4BNWFTJCCVPGG2RVIPKJPL4C/graph.json","fetch_events":"https://pith.science/api/pith-number/5M4BNWFTJCCVPGG2RVIPKJPL4C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5M4BNWFTJCCVPGG2RVIPKJPL4C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5M4BNWFTJCCVPGG2RVIPKJPL4C/action/storage_attestation","attest_author":"https://pith.science/pith/5M4BNWFTJCCVPGG2RVIPKJPL4C/action/author_attestation","sign_citation":"https://pith.science/pith/5M4BNWFTJCCVPGG2RVIPKJPL4C/action/citation_signature","submit_replication":"https://pith.science/pith/5M4BNWFTJCCVPGG2RVIPKJPL4C/action/replication_record"}},"created_at":"2026-05-18T00:49:45.716456+00:00","updated_at":"2026-05-18T00:49:45.716456+00:00"}