{"product_id":"9789814596336","title":"Differential Operators On Spaces Of Variable Integrability","description":"\u003cp\u003eThe theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis. These spaces have attracted attention not only because of their intrinsic mathematical importance as natural, interesting examples of non-rearrangement-invariant function spaces but also in view of their applications, which include the mathematical modeling of electrorheological fluids and image restoration.\u003c\/p\u003e  \u003cp\u003eThe main focus of this book is to provide a solid functional-analytic background for the study of differential operators on spaces with variable integrability. It includes some novel stability phenomena which the authors have recently discovered.\u003c\/p\u003e  \u003cp\u003eAt the present time, this is the only book which focuses systematically on differential operators on spaces with variable integrability. The authors present a concise, natural introduction to the basic material and steadily move toward differential operators on these spaces, leading the reader quickly to current research topics.\u003c\/p\u003e\u003cstrong\u003eContents:\u003c\/strong\u003e  \u003cul\u003e   \u003cli\u003e\n\u003cstrong\u003e\u003cem\u003ePreliminaries:\u003c\/em\u003e\u003c\/strong\u003e    \u003cul\u003e     \u003cli\u003eThe Geometry of Banach Spaces\u003c\/li\u003e     \u003cli\u003eSpaces with Variable Exponent\u003c\/li\u003e    \u003c\/ul\u003e \u003c\/li\u003e   \u003cli\u003e\n\u003cstrong\u003e\u003cem\u003eSobolev Spaces with Variable Exponent:\u003c\/em\u003e\u003c\/strong\u003e    \u003cul\u003e     \u003cli\u003eDefinition and Functional-analytic Properties\u003c\/li\u003e     \u003cli\u003eSobolev Embeddings\u003c\/li\u003e     \u003cli\u003eCompact Embeddings\u003c\/li\u003e     \u003cli\u003eRiesz Potentials\u003c\/li\u003e     \u003cli\u003ePoincaré-type Inequalities\u003c\/li\u003e     \u003cli\u003eEmbeddings\u003c\/li\u003e     \u003cli\u003eHölder Spaces with Variable Exponents\u003c\/li\u003e     \u003cli\u003eCompact Embeddings Revisited\u003c\/li\u003e    \u003c\/ul\u003e \u003c\/li\u003e   \u003cli\u003e\n\u003cstrong\u003e\u003cem\u003eThe p(·)-Laplacian:\u003c\/em\u003e\u003c\/strong\u003e    \u003cul\u003e     \u003cli\u003ePreliminaries\u003c\/li\u003e     \u003cli\u003eThe \u003cem\u003ep\u003c\/em\u003e(·)-Laplacian\u003c\/li\u003e     \u003cli\u003eStability with Respect to Integrability\u003c\/li\u003e    \u003c\/ul\u003e \u003c\/li\u003e   \u003cli\u003e\n\u003cstrong\u003e\u003cem\u003eEigenvalues:\u003c\/em\u003e\u003c\/strong\u003e    \u003cul\u003e     \u003cli\u003eThe Derivative of the Modular\u003c\/li\u003e     \u003cli\u003eCompactness and Eigenvalues\u003c\/li\u003e     \u003cli\u003eModular Eigenvalues\u003c\/li\u003e     \u003cli\u003eStability with Respect to the Exponent\u003c\/li\u003e     \u003cli\u003eConvergence Properties of the Eigenfunctions\u003c\/li\u003e    \u003c\/ul\u003e \u003c\/li\u003e   \u003cli\u003e\n\u003cstrong\u003e\u003cem\u003eApproximation on Lp Spaces:\u003c\/em\u003e\u003c\/strong\u003e    \u003cul\u003e     \u003cli\u003e\n\u003cem\u003es\u003c\/em\u003e-numbers and \u003cem\u003en\u003c\/em\u003e-widths\u003c\/li\u003e     \u003cli\u003eA Sobolev Embedding\u003c\/li\u003e     \u003cli\u003eIntegral Operators\u003c\/li\u003e    \u003c\/ul\u003e \u003c\/li\u003e  \u003c\/ul\u003e  \u003cbr\u003e  \u003cstrong\u003eReadership:\u003c\/strong\u003e Graduates and researchers interested in differential operators and function spaces.","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47150645149936,"sku":"9789814596336","price":30.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814596336_p0.jpg?v=1763691446","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814596336","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}