{"product_id":"9783032022271","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eRakotoson, Jean Michel\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp class=\"MsoNormal\" style=\"margin-bottom: 0cm; line-height: normal; background: white;\"\u003e\u003cspan style=\"mso-ascii-font-family: Calibri; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri; color: #242424; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-GB;\"\u003eThis book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement). It introduces applications to variational problems involving monotone rearrangements, a priori estimates for partial differential equations, and stationary or evolution problems associated with variable exponents. The properties of Sobolev embeddings for non-standard spaces such as BMO, VMO, Zygmung spaces and more general spaces invariant under rearrangement are also reviewed. The book is relatively self-contained – elementary details for non-specialists are covered in the first chapter, including, among other things, some punctual inequalities for the Sobolev embeddings and Pólya-Szegő type inequalities, which lead, for instance, to explicit and even precise estimates. The final chapter includes numerous exercises, with solutions. Based on the author’s \u003c\/span\u003e\u003cem\u003e\u003cspan style=\"mso-ascii-font-family: Calibri; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri; color: #242424;\"\u003eRéarrangement relatif: un instrument d'estimations dans les problèmes aux limites\u003c\/span\u003e\u003c\/em\u003e\u003cspan style=\"mso-ascii-font-family: Calibri; mso-fareast-font-family: 'Times New Roman'; mso-hansi-font-family: Calibri; mso-bidi-font-family: Calibri; color: #242424; mso-font-kerning: 0pt; mso-ligatures: none; mso-fareast-language: EN-GB;\"\u003e (Springer, 2008), this edition contains additional recent results and new exercises concerning interpolation theory. \u003c\/span\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2025-10-28\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783032022271\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-032-02228-8\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 414\u003c\/p\u003e ","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":44309069332620,"sku":"9783032022271","price":89.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032022271.jpg?v=1772803836","url":"https:\/\/lateknightbooks.com\/products\/9783032022271","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}