Description

Book Synopsis

This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("H-surfaces") and its analytical framework. A comprehensive overview of the classical existence and regularity theory for disc-type minimal and H-surfaces is given and re



Table of Contents
*FrontMatter, pg. i*Contents, pg. vii*Preface, pg. ix*I. Existence of a solution, pg. 5*II. Unstable minimal surfaces, pg. 33*III. The existence of surfaces of prescribed constant mean curvature spanning a Jordan curve in IR3, pg. 91*IV. Unstable H-surfaces, pg. 111*References, pg. 141

Plateaus Problem and the Calculus of Variations

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A Paperback / softback by Michael Struwe

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    View other formats and editions of Plateaus Problem and the Calculus of Variations by Michael Struwe

    Publisher: Princeton University Press
    Publication Date: 14/07/2014
    ISBN13: 9780691607757, 978-0691607757
    ISBN10: 0691607753
    Also in:
    Mathematics Calculus of variations

    Description

    Book Synopsis

    This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and surfaces of prescribed constant mean curvature ("H-surfaces") and its analytical framework. A comprehensive overview of the classical existence and regularity theory for disc-type minimal and H-surfaces is given and re



    Table of Contents
    *FrontMatter, pg. i*Contents, pg. vii*Preface, pg. ix*I. Existence of a solution, pg. 5*II. Unstable minimal surfaces, pg. 33*III. The existence of surfaces of prescribed constant mean curvature spanning a Jordan curve in IR3, pg. 91*IV. Unstable H-surfaces, pg. 111*References, pg. 141

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