The Problem of Plateau : A Tribute to Jesse Douglas and Tibor Rado

A Tribute to Jesse Douglas and Tibor Rado

By: Themistocles Rassias (Editor)

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Hardcover | 1 December 1991

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Hardcover
348 Pages

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21.59 x 15.24 x 1.91

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This volume consists of papers written by eminent scientists from the international mathematical community, who present the recent research concerning the problem of Plateau after its classical solution by Jesse Douglas and Tibor Rado. The contributing papers provide insight and perspective on various problems in modern topics of calculus of variations, global differential geometry and global nonlinear analysis as related to the problem of plateau.

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Non-Fiction Science Physics Mathematics Geometry Topology Calculus & Mathematical Analysis Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing

Preface
Joseph Plateau and His works	p. 3
Remarks on the Mathematical Work of Tibor Rado	p. 18
The Yin and the Yang of My Relationship with T. Rado	p. 33
Vague Recollections of a Young C.C.N.Y. Poor-In-Mathematics Undergraduate Student of Jesse Douglas, an Old Famous Mathematics Professor	p. 35
Jesse Douglas as Teacher and Colleague	p. 37
My Recollections of Jesse Douglas	p. 41
Jesse Douglas, the Plateau Problem, and the Fields Medal: Some Personal Reflections	p. 43
Classifying Pseudo-Riemannian Hypersurfaces by Means of Certain Characteristic Differential Equations	p. 53
Affine Minimal Higher Order Parallel Affine Surfaces	p. 76
Cartan's Method and Plateau's Problem	p. 87
Critical Point Theory and Multiple Periodic Solutions of Conservative System with Periodic Nonlinearity	p. 111
On the Uniqueness for Hypersurfaces with Constant Mean Curvature in R[superscript n+1] Bounded by a Round (n - 1)-Sphere	p. 129
On the Theory of Minimal Surfaces	p. 138
Area-Minimizing m-Tuples of k-Planes	p. 165
Morse Index of Complete Minimal Surfaces	p. 181
Removable Singularities of Stationary Fields	p. 190
Second Variation Formulas for Willmore Surfaces	p. 221
A Jordan Arc in R[superscript m] with Positive m-Dimensional Lebesgue Measure	p. 229
Some Problems and Remarks on the Eigenvalues of the Laplacian and Minimal Surfaces	p. 237
Recent Developments on the Structure of Compact Surfaces with Planar Boundary	p. 245
The Parametric Plateau Problem and Related Topics	p. 258
The Role of Minimal and Rigid Surfaces in Theoretical Physics	p. 285
On the Number of Rigid Minimal Immersions Between Spheres	p. 327
Table of Contents provided by Blackwell. All Rights Reserved.

The Problem of Plateau : A Tribute to Jesse Douglas and Tibor Rado

A Tribute to Jesse Douglas and Tibor Rado

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Hardcover

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