An Excess-decay Result for a Class of Degenerate Elliptic Equations
نویسنده
چکیده
We consider a family of degenerate elliptic equations of the form div(∇F (∇u)) = f , where F ∈ C is a convex function which is elliptic outside a ball. We prove an excess-decay estimate at points where ∇u is close to a nondegenerate value for F . This result applies to degenerate equations arising in traffic congestion, where we obtain continuity of∇u outside the degeneracy, and to anisotropic versions of the p-laplacian, where we get Hölder regularity of ∇u.
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