A constant rank theorem for solutions of fully nonlinear elliptic equations
β Scribed by Luis A. Caffarelli; Pengfei Guan; Xi-Nan Ma
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 175 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
## Abstract In this paper we prove a comparison principle between the semicontinuous viscosity subβ and supersolutions of the tangential oblique derivative problem and the mixed DirichletβNeumann problem for fully nonlinear elliptic equations. By means of the comparison principle, the existence of
## Abstract We introduce a measure for the starshapedness of the level sets of solutions of certain nonlinear elliptic equations in a starshaped ring Ξ© of IR^n^. We prove that a function which characterizes the starshapedness does not attain its minimum in Ξ©.