{"title":"Singular p(x)-Laplace Equations with Lower-Order Terms and a Hardy Potential","authors":"Aicha Benguetaib, Hichem Khelifi, Karima Ait-Mahiout","doi":"10.1007/s12220-024-01790-8","DOIUrl":null,"url":null,"abstract":"<p>The present paper is concerned by the study of a nonlinear elliptic equation which contains a Hardy potential, lower order term, singular term and <span>\\(L^{m(\\cdot )} \\)</span> data. Our approach is based on approximating the initial problem with a non-singular problem that is well-posed. We then establish the necessary estimates to pass to the limit.</p>","PeriodicalId":501200,"journal":{"name":"The Journal of Geometric Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The Journal of Geometric Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s12220-024-01790-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
The present paper is concerned by the study of a nonlinear elliptic equation which contains a Hardy potential, lower order term, singular term and \(L^{m(\cdot )} \) data. Our approach is based on approximating the initial problem with a non-singular problem that is well-posed. We then establish the necessary estimates to pass to the limit.
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