The Problem of Plateau: A Tribute to Jesse Douglas & Tibor Rad¢Themistocles M. Rassias World Scientific, 1992 - 335 pàgines 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 Rad¢. 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. |
Continguts
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 |
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The Problem Of Plateau: A Tribute To Jesse Douglas And Tibor Rado Themistocles M Rassias Previsualització limitada - 1992 |
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1992 World Scientific affine algebraic Amer analysis analytic area-minimizing base paths boundary bounded calculus of variations Cantor set compact condition consider constant mean curvature coordinates critical points defined denote derivatives differential equations Differential Geometry dimensions Dirichlet eigenvalues elliptic Euclidean existence field equations Fields Medal finite formulas functions gauge Gauss given Gl(n global gravitational harmonic maps hypersurfaces Ibid inequality integral isometric embedding Jesse Douglas Jordan curve k-planes Laplacian Lebesgue Lemma Lie group Math mathematical matrix mean curvature method metric minimal immersions minimal surfaces Morse theory nonlinear obtain paper parametrizations plane Plateau's problem polynomial problem of Plateau proof proved R+¹ Radó's Rassias 1992 World Riemann Riemannian manifold satisfying shape operator singularities SO(m solution space space-time spherical submanifold symmetric tensor Theorem Tibor Radó topology vector field Yang-Mills fields zero