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Viscosity solutions to the degenerate oblique derivative problem for fully nonlinear elliptic equations

✍ Scribed by P. Popivanov; N. Kutev

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
266 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we prove a comparison principle between the semicontinuous viscosity sub‐ and supersolutions of the tangential oblique derivative problem and the mixed Dirichlet–Neumann problem for fully nonlinear elliptic equations. By means of the comparison principle, the existence of a unique viscosity solution is obtained. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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