Abstract
The existence and uniqueness of viscosity solutions of possibly degenerate elliptic equations in is considered. The equations treated include ones of the form where λ > 0 and Du is the gradient of u, as well as fully nonlinear generalizations of this equation. Results are obtained relating growth and continuity properties of the nonlinearity H(p) and the forcing term f(x) and (sometimes sharp) uniqueness classes for solutions. Existence is proved in the uniqueness classes.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
