Topics in the Calculus of Variations
This report grew out of a series of lectures given at the East China Institute of Technology, Nanjing, during September 1992. The purpose of this book is to make beginning research students familiar with some problems in varia tional calculus which have been chosen following my personal taste but w...
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| Format: | eBook |
| Language: | English |
| Published: |
Wiesbaden
Vieweg+Teubner Verlag
1994, 1994
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| Edition: | 1st ed. 1994 |
| Series: | Advanced Lectures in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Degenerate Variational Integrals with Nonlinear Side Conditions, p-harmonic Maps and Related Topics
- 1.1 Introduction, Notations and Results for Minimizers
- 1.2 Linearisation of the Minimum Property, Extension of Maps
- 1.3 Proofs of the Basic Theorems
- 1.4 A Survey on p-Harmonic Maps
- 1.5 Variational Inequalities and Asymptotically Regular Integrands
- 1.6 Approximations for some Model Problems in Nonlinear Elasticity
- 2 Manifolds of Prescribed Mean Curvature in the Setting of Geometric Measure Theory
- 2.1 The Mean Curvature Problem
- 2.2 Some Facts from Geometric Measure Theory
- 2.3 A First Approach to the Mean Curvature Problem
- 2.4 General Existence Theorems, Applications to Isoperimetric Problems
- 2.5 Tangent Cones, Small Solutions, Closed Hypersurfaces