Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839646 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 15 Pages |
Abstract
We prove existence and uniqueness of viscosity solutions to second order degenerate elliptic equations which are continuous or jump discontinuous on some interior surface. Moreover, we derive sharp conditions for Lipschitz regularity or gradient blow up of the viscosity solutions on such a surface.
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Authors
G. Chobanov, B. Kawohl, N. Kutev,