Gradient Estimates for Solutions to Divergence Form Elliptic Equations with Discontinuous Coefficients
β Scribed by Yan Yan Li; Michael Vogelius
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 371 KB
- Volume
- 153
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
Well-posedness is proved in the space W 2, p, \* (0) & W 1, p 0 (0) for the Dirichlet problem u=0 a.e. in 0 on 0 if the principal coefficients a ij (x) of the uniformly elliptic operator belong to VMO & L (0). 1999 Academic Press 1. INTRODUCTION In the last thirty years a number of papers have bee
In view of the applications in the study of regularity properties of minimizers for a continuous model of transportation, which is a kind of divergence-constrained optimization problem, we prove a global L β gradient estimate for solutions of an elliptic equation, whose ellipticity constants become