Ergodic pairs for singular or degenerate fully nonlinear operators
نویسندگان
چکیده
منابع مشابه
Existence’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 کاملExistence of Boundary Blow up Solutions for Singular or Degenerate Fully Nonlinear Equations
We prove here the existence of boundary blow up solutions for fully nonlinear equations in general domains, for a nonlinearity satisfying KellerOsserman type condition. If moreover the nonlinearity is non decreasing , we prove uniqueness for boundary blow up solutions on balls for operators related to Pucci’s operators.
متن کاملGeneric Singular Spectrum for Ergodic Schrödinger Operators
We consider Schrödinger operators with ergodic potential Vω(n) = f (T (ω)), n ∈ Z, ω ∈ , where T : → is a nonperiodic homeomorphism. We show that for generic f ∈ C( ), the spectrum has no absolutely continuous component. The proof is based on approximation by discontinuous potentials which can be treated via Kotani theory.
متن کاملDegenerate 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 کاملSingular perturbation problems for nonlinear elliptic equations in degenerate settings
Here N ≥ 1, g(s) ∈ C(R,R) is a function with a subcritical growth, V (x) ∈ C(R ,R) is a positive function and 0 < ε 1. Among solutions of (0.1)ε, we are interested in concentrating families (uε) of solutions, which have the following behavior: (i) uε(x) has a local maximum at xε ∈ R and xε converges to some x0 ∈ R as ε → 0. (ii) rescaled function vε(y) = uε(εy + xε) converges as ε → 0 to a solu...
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: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2019
ISSN: 1292-8119,1262-3377
DOI: 10.1051/cocv/2018070