## The Problem of Plateau: A Tribute to Jesse Douglas & Tibor RadąThemistocles M. Rassias This volume consists of papers written by eminent scientists from the international mathematical community, who present the latest information concerning the problem of Plateau after its classical solution by Jesse Douglas and Tibor Radą. 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. |

### Contents

Joseph Plateau and His works | 3 |

Remarks on the Mathematical Work of Tibor Radó | 18 |

The Yin and the Yang of My Relationship with T Radó | 33 |

Classifying PseudoRiemannian Hypersurfaces by Means of Certain | 53 |

Affine Minimal Higher Order Parallel Affine Surfaces | 76 |

Critical Point Theory and Multiple Periodic Solutions | 111 |

On the Uniqueness for Hypersurfaces with Constant Mean Curvature | 129 |

AreaMinimizing mTuples of kPlanes | 165 |

Morse Index of Complete Minimal Surfaces | 181 |

Second Variation Formulas for Willmore Surfaces | 221 |

Some Problems and Remarks on the Eigenvalues of the Laplacian | 237 |

The Parametric Plateau Problem and Related Topics | 258 |

The Role of Minimal and Rigid Surfaces in Theoretical Physics | 285 |

On the Number of Rigid Minimal Immersions Between Spheres | 327 |

### Other editions - View all

The Problem of Plateau: A Tribute to Jesse Douglas and Tibor Radó Themistocles M Rassias Limited preview - 1992 |

### Common terms and phrases

affine algebraic Amer analysis analytic appear apply assume base boundary bounded called closed compact complete condition conformal connected consider constant constant mean curvature construction contained continuous coordinates corresponding critical points curve defined definition denote derivatives described determine differential dimensions Douglas eigenvalues embedding equations equivalent example existence extension fact field finite fixed formulas functions gauge Gauss geometry given gives global gravitational harmonic Hence hypersurfaces immersion implies integral interesting introduced isometric least Lemma manifold Math mathematical matrix method metric minimal surfaces natural normal obtain operator physics plane Plateau Plateau's problem positive principle problem proof properties proved published Radó Rassias References Relativity Remark respect Riemannian satisfying singularities solution space structure submanifold tensor Theorem theory transformations University variations vector Yang-Mills zero