Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591190 | Journal of Functional Analysis | 2010 | 25 Pages |
Abstract
We establish Lipschitz regularity for solutions to a family of non-isotropic fully nonlinear partial differential equations of elliptic type. In general such a regularity is optimal. No sign constraint is imposed on the solution, thus limiting free boundaries may have two-phases. Our estimates are then employed in combination with fine regularizing techniques to prove existence of viscosity solutions to singular nonlinear PDEs.
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