Regularity for radial solutions of degenerate fully nonlinear equations
نویسندگان
چکیده
منابع مشابه
Boundary Regularity for Viscosity Solutions of Fully Nonlinear Elliptic Equations
We provide regularity results at the boundary for continuous viscosity solutions to nonconvex fully nonlinear uniformly elliptic equations and inequalities in Euclidian domains. We show that (i) any solution of two sided inequalities with Pucci extremal operators is C1,α on the boundary; (ii) the solution of the Dirichlet problem for fully nonlinear uniformly elliptic equations is C2,α on the b...
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It is well known that viscosity solutions of (1.1) are C for some 0 < α < 1, and in the case that the functional F is convex, they are C. In this paper we use the Krylov-Safonov Harnack inequality, Jensen’s approximate solutions and some basic lemmas of real analysis to give new and simpler proofs of these results. In (1.1), u is a real function defined in a bounded domain Ω of R and Du denotes...
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This is the first of a series of papers on the interior regularity of fully nonlinear degenerate elliptic equations of second order. We consider here a stochastic optimal control problem in a domain, in which the diffusion coefficients, drift coefficients and discount factor are independent of the spatial variables. Under appropriate assumptions, for k = 0, 1, when the terminal and running payo...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2012
ISSN: 0362-546X
DOI: 10.1016/j.na.2012.06.028