A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.
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Giovanni Molica Bisci is Assistant Professor of Mathematical Analysis at the Università 'Mediterranea' di Reggio Calabria. He is the author of more than 90 research papers in nonlinear analysis.
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Hardcover. Zustand: new. Hardcover. This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory. Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9781107111943
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Zustand: New. A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators. Series: Encyclopedia of Mathematics and Its Applications. Num Pages: 400 pages, black & white illustrations. BIC Classification: PBKF; PBKQ; PHU. Category: (U) Tertiary Education (US: College). Dimension: 234 x 156 x 25. Weight in Grams: 790. . 2016. 1st Edition. hardcover. . . . . Bestandsnummer des Verkäufers V9781107111943
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