{"id":"https://openalex.org/W7163805895","doi":"https://doi.org/10.1016/j.cnsns.2026.110309","title":"A Harnack type inequality and long time behavior for some nonlinear nonlocal dispersal porous medium","display_name":"A Harnack type inequality and long time behavior for some nonlinear nonlocal dispersal porous medium","publication_year":2026,"publication_date":"2026-06-07","ids":{"openalex":"https://openalex.org/W7163805895","doi":"https://doi.org/10.1016/j.cnsns.2026.110309"},"language":"en","primary_location":{"id":"doi:10.1016/j.cnsns.2026.110309","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110309","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076670414","display_name":"Jian\u2010Wen Sun","orcid":"https://orcid.org/0000-0002-8384-553X"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian-Wen Sun","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, P.R. China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076362119","display_name":"Hoang\u2010Hung Vo","orcid":"https://orcid.org/0000-0002-0404-7987"},"institutions":[{"id":"https://openalex.org/I123565023","display_name":"Vietnam National University Ho Chi Minh City","ror":"https://ror.org/00waaqh38","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023"]}],"countries":["VN"],"is_corresponding":true,"raw_author_name":"Hoang-Hung Vo","raw_affiliation_strings":["Department of Mathematics, International University, Vietnam National University, Quarter 6, Linh Trung Ward, Thu Duc City, Ho Chi Minh City, Viet Nam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, International University, Vietnam National University, Quarter 6, Linh Trung Ward, Thu Duc City, Ho Chi Minh City, Viet Nam","institution_ids":["https://openalex.org/I123565023"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076362119"],"corresponding_institution_ids":["https://openalex.org/I123565023"],"apc_list":{"value":3460,"currency":"USD","value_usd":3460},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.75845693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"162","issue":null,"first_page":"110309","last_page":"110309"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.6187000274658203,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.6187000274658203,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems","score":0.07670000195503235,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10940","display_name":"Navier-Stokes equation solutions","score":0.045499999076128006,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6467999815940857},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6085000038146973},{"id":"https://openalex.org/keywords/harnacks-inequality","display_name":"Harnack's inequality","score":0.5928999781608582},{"id":"https://openalex.org/keywords/porous-medium","display_name":"Porous medium","score":0.5634999871253967},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.40799999237060547}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6467999815940857},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6085000038146973},{"id":"https://openalex.org/C8464174","wikidata":"https://www.wikidata.org/wiki/Q868279","display_name":"Harnack's inequality","level":2,"score":0.5928999781608582},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5814999938011169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5656999945640564},{"id":"https://openalex.org/C105569014","wikidata":"https://www.wikidata.org/wiki/Q3271208","display_name":"Porous medium","level":3,"score":0.5634999871253967},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.40799999237060547},{"id":"https://openalex.org/C2780811558","wikidata":"https://www.wikidata.org/wiki/Q7049479","display_name":"Nonlinear medium","level":4,"score":0.37040001153945923},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3407000005245209},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3215999901294708},{"id":"https://openalex.org/C163072092","wikidata":"https://www.wikidata.org/wiki/Q1135706","display_name":"Harnack's principle","level":3,"score":0.2922999858856201},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2606000006198883}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cnsns.2026.110309","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cnsns.2026.110309","pdf_url":null,"source":{"id":"https://openalex.org/S39612629","display_name":"Communications in Nonlinear Science and Numerical Simulation","issn_l":"1007-5704","issn":["1007-5704","1878-7274"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Communications in Nonlinear Science and Numerical Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47166767716407776,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1982673781","https://openalex.org/W2006369296","https://openalex.org/W2026667565","https://openalex.org/W2040490110","https://openalex.org/W2041216447","https://openalex.org/W2046383168","https://openalex.org/W2049166981","https://openalex.org/W2054723044","https://openalex.org/W2081136908","https://openalex.org/W2329144655","https://openalex.org/W2999682143","https://openalex.org/W3004633268","https://openalex.org/W3041576985","https://openalex.org/W3049238153","https://openalex.org/W3102119649","https://openalex.org/W4226176930","https://openalex.org/W4251363655","https://openalex.org/W4292707600","https://openalex.org/W4379523240"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2026-06-08T00:00:00"}