Sign in
Boundary differentiability of solutions of elliptic equations on convex domains
Journal article   Peer reviewed

Boundary differentiability of solutions of elliptic equations on convex domains

Dongsheng Li and Lihe Wang
Manuscripta mathematica, Vol.121(2), pp.137-156
10/2006
DOI: 10.1007/s00229-006-0032-8

View Online

Abstract

The boundary differentiability is shown for solutions of elliptic differential equations in non-divergence form on convex domains. Counterexamples are given to illustrate that the result is optimal in the sense that gradients of solutions exist but may be discontinuous along boundaries.
35J25

Details

Metrics