{"title":"On degenerate \n \n \n (\n p\n ,\n q\n )\n \n $(p,q)$\n -Laplace equations corresponding to an inverse spectral problem","authors":"Yavdat Il'yasov, Nur Valeev","doi":"10.1112/blms.13192","DOIUrl":null,"url":null,"abstract":"<p>A method of solving nonlinear boundary value problems involving <span></span><math>\n <semantics>\n <mrow>\n <mo>(</mo>\n <mi>p</mi>\n <mo>,</mo>\n <mi>q</mi>\n <mo>)</mo>\n </mrow>\n <annotation>$(p,q)$</annotation>\n </semantics></math>-Laplace with unbounded measurable coefficients is introduced through the inverse optimal problem approach. The existence, uniqueness, and stability of the nonnegative weak solution to the nonlinear equations of the form\n\n </p>","PeriodicalId":55298,"journal":{"name":"Bulletin of the London Mathematical Society","volume":"57 1","pages":"218-235"},"PeriodicalIF":0.9000,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the London Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/blms.13192","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
A method of solving nonlinear boundary value problems involving -Laplace with unbounded measurable coefficients is introduced through the inverse optimal problem approach. The existence, uniqueness, and stability of the nonnegative weak solution to the nonlinear equations of the form
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