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pseudo infinity laplacian

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Optimal regularity for the pseudo infinity Laplacian
Julio D. Rossi, Mariel Saez
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 13 / Issue 2 / April 2007

Published online by Cambridge University Press:

12 May 2007, pp. 294-304

Print publication:

April 2007
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In this paper we find the optimal regularity for viscositysolutions of the pseudo infinity Laplacian. We prove that thesolutions are locally Lipschitz and show an example that provesthat this result is optimal. We also show existence and uniquenessfor the Dirichlet problem.