{"product_id":"an-introduction-to-nonlinear-functional-analysis-and-elliptic-problems-9780817681135","title":"An Introduction to Nonlinear Functional Analysis and Elliptic Problems","description":"\u003cp\u003e • Author(s): Antonio Ambrosetti\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Functional Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems. By first outlining the advantages and disadvantages of each method, this comprehensive text displays how various approaches can easily be applied to a range of model cases.\u003c\/p\u003e\u003cp\u003e\u003ci\u003eAn Introduction to Nonlinear Functional Analysis and Elliptic Problems\u003c\/i\u003e is divided into two parts: the first discusses key results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, Leray-Schauder degree, critical point theory, and bifurcation theory; the second part shows how these abstract results apply to Dirichlet elliptic boundary value problems. The exposition is driven by numerous prototype problems and exposes a variety of approaches to solving them.\u003c\/p\u003e\u003cp\u003eComplete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45276979986583,"sku":"9780817681135","price":5876.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780817681135.webp?v=1769287159","url":"https:\/\/atlanticbooks.com\/products\/an-introduction-to-nonlinear-functional-analysis-and-elliptic-problems-9780817681135","provider":"Atlantic Books","version":"1.0","type":"link"}