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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Variational Methods for Nonlocal Fractional Problems (Hardcover)
Loot Price: R4,075
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Variational Methods for Nonlocal Fractional Problems (Hardcover)
Series: Encyclopedia of Mathematics and its Applications
Expected to ship within 10 - 15 working days
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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.
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