Ergodic pairs for degenerate pseudo Pucci's fully nonlinear operators
نویسندگان
چکیده
We study the ergodic problem for fully nonlinear operators which may be singular or degenerate when at least one of components gradient vanishes. extend here results in [ 16 ], 10 24 ].
منابع مشابه
Degenerate Conformally Invariant Fully Nonlinear Elliptic Equations
There has been much work on conformally invariant fully nonlinear elliptic equations and applications to geometry and topology. See for instance [17], [5], [4], [10], [14], [9], and the references therein. An important issue in the study of such equations is to classify entire solutions which arise from rescaling blowing up solutions. Liouville type theorems for general conformally invariant fu...
متن کاملA splitting method for fully nonlinear degenerate parabolic PDEs
Motivated by applications in Asian option pricing, optimal commodity trading etc., we propose a splitting scheme for fully nonlinear degenerate parabolic PDEs. The splitting scheme generalizes the probabilistic scheme of Fahim, Touzi and Warin [13] to the degenerate case. General convergence as well as rate of convergence are obtained under reasonable conditions. In particular, it can be used f...
متن کاملEigenvalues for Radially Symmetric Non-variational Fully Nonlinear Operators
In this paper we present an elementary theory about the existence of eigenvalues for fully nonlinear radially symmetric 1-homogeneous operators. A general theory for first eigenvalues and eigenfunctions of 1-homogeneous fully nonlinear operators exists in the framework of viscosity solutions. Here we want to show that for the radially symmetric operators (and one dimensional) a much simpler the...
متن کاملproperties of M−hyoellipticity for pseudo differential operators
In this paper we study properties of symbols such that these belong to class of symbols sitting insideSm ρ,φ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of M−hypoelliptic pseudodifferential operators for which define base on this class of symbols. Also we consider maxi...
متن کاملExistence’s results for parabolic problems related to fully non linear operators degenerate or singular
In this paper we prove some existence and regularity results concerning parabolic equations ut = F (x,∇u, D u) + f(x, t) with some boundary conditions, on Ω×]0, T [, where Ω is some bounded domain which possesses the exterior cone property and F is some fully nonlinear elliptic operator, singular or degenerate.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2021
ISSN: ['1553-5231', '1078-0947']
DOI: https://doi.org/10.3934/dcds.2021004