Examines linear structures, the topology of metric spaces, and continuity in infinite dimensions, with detailed coverage at the graduate level Includes applications to geometry and differential equations, numerous beautiful...

* Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.

This monograph (in two volumes) deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configuations in nonlinear...

Non-scalar variational problems appear in different fields. In geometry, for in­ stance, we encounter the basic problems of harmonic maps between Riemannian manifolds and of minimal immersions; related questions appear in physics, for...

This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress of...

"Calculus of Variations II" von Stefan Hildebrandt ist ein umfassendes Werk, das sich mit der Theorie und Anwendung der Variationsrechnung befasst. Dieses Buch ist Teil der renommierten Reihe "Grundlehren der mathematischen...

"Calculus of Variations I" von Stefan Hildebrandt ist ein umfassendes Werk, das sich mit der Theorie und Anwendung der Variationsrechnung befasst. Diese mathematische Disziplin untersucht Optimierungsprobleme, bei denen Funktionale...