{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:37:30Z","timestamp":1747190250116,"version":"3.40.5"},"reference-count":32,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,5,4]],"date-time":"2020-05-04T00:00:00Z","timestamp":1588550400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,5,4]]},"abstract":"<jats:p>In this paper, by using subsuper solutions method, we study the existence of weak positive solutions for a new class of <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>p<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>q<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math> Laplacian nonlinear elliptic system in bounded domains, when <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>a<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math>, <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi>b<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>,<\/mml:mo><mml:mi>\u03b1<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math>, and <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:mi>\u03b2<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math> are sign-changing functions that maybe negative near the boundary, without assuming sign conditions on <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M6\"><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mo>,<\/mml:mo><mml:mi>g<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mo>,<\/mml:mo><mml:mi>h<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math>, and <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M7\"><mml:mrow><mml:mi>\u03b3<\/mml:mi><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math>.<\/jats:p>","DOI":"10.1155\/2020\/5302513","type":"journal-article","created":{"date-parts":[[2020,5,4]],"date-time":"2020-05-04T23:36:25Z","timestamp":1588635385000},"page":"1-6","source":"Crossref","is-referenced-by-count":2,"title":["Existence of Positive Weak Solutions for a New Class of <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mfenced open=\"(\" close=\")\" separators=\"|\"><mml:mrow><mml:mi>p<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>q<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math> Laplacian Nonlinear Elliptic System with Sign-Changing Weights"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0959-3378","authenticated-orcid":true,"given":"Rafik","family":"Guefaifia","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Exact Sciences, Larbi Tebessi University, Tebessa 12002, Algeria"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1308-2159","authenticated-orcid":true,"given":"Salah Mahmoud","family":"Boulaaras","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Saudi Arabia"},{"name":"Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria"}]},{"given":"Sultan","family":"Alodhaibi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Sciences and Arts, Al-Rass, Qassim University, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5900-6752","authenticated-orcid":true,"given":"Salem","family":"Alkhalaf","sequence":"additional","affiliation":[{"name":"Department of Computer, College of Sciences and Arts, Al-Rass, Qassim University, Saudi 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