{"corpus_id":121765158,"paper_sha":"8eac6cb0f1fd0773f6df9543887a10083b4f9c14","doi":"10.1006/JDEQ.2000.3812","arxiv_id":null,"pmid":null,"pmcid":null,"mag_id":2054410697,"dblp_id":null,"acl_id":null,"title":"Multiple Solutions for Resonant Elliptic Equations via Local Linking Theory and Morse Theory","year":2001,"publication_date":"2001-02-10","venue":"","journal":{"name":"Journal of Differential Equations","pages":"68-95","volume":"170"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics"],"reference_count":35,"citation_count":21,"influential_citation_count":2,"is_open_access":false,"arxiv_categories":null,"arxiv_license":null,"arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"Abstract We consider two classes of elliptic resonant problems. First, by local linking theory, we study the double-double resonant case and obtain three solutions. Second, we introduce some new conditions and compute the critical groups both at zero and at infinity precisely. Combining Morse theory, we get three solutions for the completely resonant case.","claims":[{"public_id":"cl_5d9f099319d5b0faeb762d633265f842","status":"active","text":"Combining Morse theory with the computed critical groups gives three solutions for the completely resonant elliptic problem.","confidence":0.97,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_5d9f099319d5b0faeb762d633265f842"},{"public_id":"cl_54938798b96692640383e2c8b830a520","status":"active","text":"Local linking theory yields three solutions for the double-double resonant elliptic problem.","confidence":0.98,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous 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