# Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem

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*L. C. Evans; W. Gangbo*

#### Table of Contents

# Table of Contents

## Differential Equations Methods for the Monge-Kantorovich Mass Transfer Problem

- Contents vii8 free
- 1. Introduction 110 free
- 2. Uniform estimates on the p-Laplacian, limits as p [omitted] ∞ 716 free
- 3. The transport set and transport rays 1625
- 4. Differentiability and smoothness properties of the potential 2231
- 5. Generic properties of transport rays 2837
- 6. Behavior of the transport density along rays 3645
- 7. Vanishing of the transport density at the ends of rays 4453
- 8. Approximate mass transfer plans 5261
- 9. Passage to limits a.e. 5665
- 10. Optimality 6271
- Appendix: Approximating semiconcave and semiconvex functions by C[sup(2)] functions 6372
- Bibliography 6574