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Minimal Surfaces and Functions of Bounded Variation
Language: en
Pages: 250
Authors: Giusti
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

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The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after
Weakly Differentiable Functions
Language: en
Pages: 323
Authors: William P. Ziemer
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The term "weakly differentiable functions" in the title refers to those inte n grable functions defined on an open subset of R whose partial derivatives in the
Bounded Variation and Around
Language: en
Pages: 488
Authors: Jürgen Appell
Categories: Mathematics
Type: BOOK - Published: 2013-12-12 - Publisher: Walter de Gruyter

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The aim of this monograph is to give a thorough and self-contained account of functions of (generalized) bounded variation, the methods connected with their stu
Sobolev Spaces
Language: en
Pages: 882
Authors: Vladimir Maz'ya
Categories: Mathematics
Type: BOOK - Published: 2011-02-11 - Publisher: Springer Science & Business Media

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Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical
A First Course in Sobolev Spaces
Language: en
Pages: 626
Authors: Giovanni Leoni
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

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Sobolev spaces are a fundamental tool in the modern study of partial differential equations. In this book, Leoni takes a novel approach to the theory by looking