REGULARITY OF THE STRESS FIELD FOR DEGENERATE AND/OR SINGULAR ELLIPTIC PROBLEMS
Résumé
We investigate the regularity of the solutions of degenerate and/or singular elliptic
equations. We prove the continuity of G(∇u) where u is a locally Lipschitz solution of div G(∇u) =
λ ∈ R in dimension two under some growth assumptions on G. We also present a result true in any
dimension stating that the distance between ∇u and the degeneracy set of G is continuous.
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