{"title":"On degenerate \u0000 \u0000 \u0000 (\u0000 p\u0000 ,\u0000 q\u0000 )\u0000 \u0000 $(p,q)$\u0000 -Laplace equations corresponding to an inverse spectral problem","authors":"Yavdat Il'yasov, Nur Valeev","doi":"10.1112/blms.13192","DOIUrl":"https://doi.org/10.1112/blms.13192","url":null,"abstract":"<p>A method of solving nonlinear boundary value problems involving <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>p</mi>\u0000 <mo>,</mo>\u0000 <mi>q</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(p,q)$</annotation>\u0000 </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\u0000\u0000 </p>","PeriodicalId":55298,"journal":{"name":"Bulletin of the London Mathematical Society","volume":"57 1","pages":"218-235"},"PeriodicalIF":0.8,"publicationDate":"2024-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143117548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}