{"id":"https://openalex.org/W7168276187","doi":"https://doi.org/10.1007/s10444-026-10334-3","title":"Theoretical and numerical analysis of a nonlinear double-phase variable exponent model for image contrast enhancement","display_name":"Theoretical and numerical analysis of a nonlinear double-phase variable exponent model for image contrast enhancement","publication_year":2026,"publication_date":"2026-07-14","ids":{"openalex":"https://openalex.org/W7168276187","doi":"https://doi.org/10.1007/s10444-026-10334-3"},"language":"en","primary_location":{"id":"doi:10.1007/s10444-026-10334-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-026-10334-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","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/A5140584403","display_name":"Abderrahim Charkaoui","orcid":null},"institutions":[{"id":"https://openalex.org/I4210106438","display_name":"Centre for Higher Education","ror":"https://ror.org/01q1tcv22","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I4210106438"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Abderrahim Charkaoui","raw_affiliation_strings":["Laboratory of Education, Sciences and Techniques (LEST), Higher School of Education and Training Berrechid (ESEFB), Hassan First University, Berrechid, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Education, Sciences and Techniques (LEST), Higher School of Education and Training Berrechid (ESEFB), Hassan First University, Berrechid, Morocco","institution_ids":["https://openalex.org/I4210106438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5140745476","display_name":"Anouar Ben-Loghfyry","orcid":null},"institutions":[{"id":"https://openalex.org/I4210164065","display_name":"Universit\u00e9 Hassan II Mohammedia","ror":"https://ror.org/058gnfy87","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210164065"]},{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Anouar Ben-Loghfyry","raw_affiliation_strings":["MSPASI, Faculty of Science and Techniques of Mohammedia, Hassan II University, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"MSPASI, Faculty of Science and Techniques of Mohammedia, Hassan II University, Casablanca, Morocco","institution_ids":["https://openalex.org/I4210164065","https://openalex.org/I99297268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5140696049","display_name":"Shengda Zeng","orcid":null},"institutions":[{"id":"https://openalex.org/I27462735","display_name":"Yulin Normal University","ror":"https://ror.org/00445hv47","country_code":"CN","type":"education","lineage":["https://openalex.org/I27462735"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shengda Zeng","raw_affiliation_strings":["Center for Applied Mathematics of Guangxi, and Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Mathematics of Guangxi, and Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, P.R. China","institution_ids":["https://openalex.org/I27462735"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5140584403","https://openalex.org/A5140696049","https://openalex.org/A5140745476"],"corresponding_institution_ids":["https://openalex.org/I27462735","https://openalex.org/I4210106438","https://openalex.org/I4210164065","https://openalex.org/I99297268"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.73858652,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"52","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.4537999927997589,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11829","display_name":"Mathematical Biology Tumor Growth","score":0.4537999927997589,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.08150000125169754,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.08100000023841858,"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/robustness","display_name":"Robustness (evolution)","score":0.6308000087738037},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6032000184059143},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.48089998960494995},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4034999907016754},{"id":"https://openalex.org/keywords/grayscale","display_name":"Grayscale","score":0.375900000333786},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.3573000133037567},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.3560999929904938},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.3474000096321106},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.3424000144004822}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6330000162124634},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6308000087738037},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6032000184059143},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.48089998960494995},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44670000672340393},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44269999861717224},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4034999907016754},{"id":"https://openalex.org/C78201319","wikidata":"https://www.wikidata.org/wiki/Q685727","display_name":"Grayscale","level":3,"score":0.375900000333786},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.3573000133037567},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.3560999929904938},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.3474000096321106},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.3424000144004822},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.3402000069618225},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.33719998598098755},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.32710000872612},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3264000117778778},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.326200008392334},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.3091999888420105},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.2976999878883362},{"id":"https://openalex.org/C106430172","wikidata":"https://www.wikidata.org/wiki/Q6002272","display_name":"Image restoration","level":4,"score":0.2944999933242798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2935999929904938},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.2759999930858612},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C31601959","wikidata":"https://www.wikidata.org/wiki/Q931309","display_name":"Medical imaging","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26669999957084656},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.26249998807907104},{"id":"https://openalex.org/C3017601658","wikidata":"https://www.wikidata.org/wiki/Q545981","display_name":"Image enhancement","level":3,"score":0.2565000057220459}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10444-026-10334-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10444-026-10334-3","pdf_url":null,"source":{"id":"https://openalex.org/S57050787","display_name":"Advances in Computational Mathematics","issn_l":"1019-7168","issn":["1019-7168","1572-9044"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Computational Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W180219488","https://openalex.org/W203238454","https://openalex.org/W1486358692","https://openalex.org/W1535934056","https://openalex.org/W1963623641","https://openalex.org/W1973728860","https://openalex.org/W2001002651","https://openalex.org/W2009375605","https://openalex.org/W2021233574","https://openalex.org/W2022735534","https://openalex.org/W2034447457","https://openalex.org/W2061191702","https://openalex.org/W2083624955","https://openalex.org/W2103559027","https://openalex.org/W2112228563","https://openalex.org/W2119791479","https://openalex.org/W2134837756","https://openalex.org/W2135787153","https://openalex.org/W2150134853","https://openalex.org/W2561023977","https://openalex.org/W2956015785","https://openalex.org/W3011612142","https://openalex.org/W3200404912","https://openalex.org/W4224313916","https://openalex.org/W4225420756","https://openalex.org/W4242391491","https://openalex.org/W4283742243","https://openalex.org/W4386018527","https://openalex.org/W4388419692","https://openalex.org/W4391997673","https://openalex.org/W4392656928","https://openalex.org/W4394995833","https://openalex.org/W4396733092","https://openalex.org/W4399743450","https://openalex.org/W4401662262","https://openalex.org/W4401925597","https://openalex.org/W4402034121","https://openalex.org/W4403244029","https://openalex.org/W4404552810","https://openalex.org/W4405364696","https://openalex.org/W4407764821","https://openalex.org/W4409335182","https://openalex.org/W4410410746","https://openalex.org/W4414060389","https://openalex.org/W7128647735"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2026-07-15T00:00:00"}