edited by Themistocles M Rassias (University of LaVerne, Greece)

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 Radó. 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.

• Joseph Plateau and His Works (C C Grosjean & T M Rassias)
• Affine Minimal Higher Order Parallel Affine Surfaces (F Dillen & L Vrancken)
• Cartan's Method and Plateau's Problem (J Donato)
• Critical Point Theory and Multiple Periodic Solutions of Conservative Systems with Periodic Nonlinearity (A Fonda & J Mawhin)
• On the Theory of Minimal Surfaces (E Kreyszig)
• Area-Minimizing m-Tuples of k-Planes (G Lawlor)
• Removable Singularities of Stationary Fields (T H Otway)
• A Jordan Arc in R^m with Positive m-Dimensional Lebesque Measure (H R Parks & R M Schori)
• Some Problems and Remarks on the Eigenvalues of the Laplacian and Minimal Surfaces (T M Rassias)
• The Parametric Plateau Problem and Related Topics (G Ströhmer)
• On the Number of Rigid Minimal Immersions between Spheres (G Toth)
• and other papers