| Issue |
ESAIM: COCV
Volume 13, Number 2, April-June 2007
|
|
|---|---|---|
| Page(s) | 294 - 304 | |
| DOI | https://doi.org/10.1051/cocv:2007018 | |
| Published online | 12 May 2007 | |
Optimal regularity for the pseudo infinity Laplacian
1
Instituto de Matemáticas y Física Fundamental Consejo Superior de Investigaciones Científicas Serrano 123, Madrid, Spain, on leave from Departamento de Matemática, FCEyN UBA (1428) Buenos Aires, Argentina; jrossi@dm.uba.ar
2
Max Planck Institute for Gravitational Physics
Albert Einstein Institute Am Mühlenberg 1, 14476 Golm, Germany; mariel.saez@aei.mpg.de
Received:
27
February
2006
In this paper we find the optimal regularity for viscosity solutions of the pseudo infinity Laplacian. We prove that the solutions are locally Lipschitz and show an example that proves that this result is optimal. We also show existence and uniqueness for the Dirichlet problem.
Mathematics Subject Classification: 35A05 / 35B65 / 35J15
Key words: Viscosity solutions / optimal regularity / pseudo infinity Laplacian
© EDP Sciences, SMAI, 2007
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