{"product_id":"relative-rearrangement-jean-michel-rakotoson-9783032022271","title":"Relative Rearrangement","description":"This 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 \u003cem\u003eRéarrangement relatif: un instrument d'estimations dans les problèmes aux limites\u003c\/em\u003e (Springer, 2008), this edition contains additional recent results and new exercises concerning interpolation theory. \u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jean Michel Rakotoson\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3032022274\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783032022271\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/28\/2025\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 414\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.33lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.88d","brand":"Jean Michel Rakotoson","offers":[{"title":"Paperback","offer_id":48014231011583,"sku":"9783032022271","price":99.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_34fe51b2-0322-4ff5-a25d-b8be549c3de4.jpg?v=1767747501","url":"https:\/\/www.whiterainbookhouse.com\/products\/relative-rearrangement-jean-michel-rakotoson-9783032022271","provider":"WR Book House","version":"1.0","type":"link"}