Books » Author » Irene Fonseca
By Fonseca, Irene; Gangbo, Wilfrid
This text examines degree theory and some of its applications in analysis. Topics described include: degree theory for continuous functions; the multiplication theorem; Hopf's theorem; Brower's fixed point theorem; odd mappings; and Jordan's separation theorem.
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By Fonseca, Irene; Leoni, Giovanni
This book presents in a unified way both classical and contemporary results in the Calculus of Variations. It brings together in one place the contemporary developments in the calculus of variations based on a series of lectures at Carnegie Mellon University.
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Addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. This book contains several exercises. It is suitable as a graduate textbook as well as a reference text for researchers in the fie...ld.Read more
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