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Modern Methods in the Calculus of Variations - L^p Spaces (Paperback, Softcover reprint of hardcover 1st ed. 2007)
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Modern Methods in the Calculus of Variations - L^p Spaces (Paperback, Softcover reprint of hardcover 1st ed. 2007)
Series: Springer Monographs in Mathematics
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Total price: R1,583
Discovery Miles: 15 830
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PMThis is the first of two books on methods and techniques in the
calculus of variations. Contemporary arguments are used throughout
the text to streamline and present in a unified way classical
results, and to provide novel contributions at the forefront of the
theory. This book addresses fundamental questions related to lower
semicontinuity and relaxation of functionals within the
unconstrained setting, mainly in L p spaces. It prepares the ground
for the second volume where the variational treatment of
functionals involving fields and their derivatives will be
undertaken within the framework of Sobolev spaces. This book is
self-contained. All the statements are fully justified and proved,
with the exception of basic results in measure theory, which may be
found in any good textbook on the subject. It also contains several
exercises. Therefore,it may be used both as a graduate textbook as
well as a reference text for researchers in the field. Irene
Fonseca is the Mellon College of Science Professor of Mathematics
and is currently the Director of the Center for Nonlinear Analysis
in the Department of Mathematical Sciences at Carnegie Mellon
University. Her research interests lie in the areas of continuum
mechanics, calculus of variations, geometric measure theory and
partial differential equations. Giovanni Leoni is also a professor
in the Department of Mathematical Sciences at Carnegie Mellon
University. He focuses his research on calculus of variations,
partial differential equations and geometric measure theory with
special emphasis on applications to problems in continuum mechanics
and in materials scienc
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