We prove gradient boundary blow up rates for ergodic functions in bounded domains related to fully nonlinear degenerate/singular elliptic operators. As a consequence, we deduce the uniqueness, up to constants, of the ergodic functions. The results are obtained by means of a Liouville type classification theorem in half-spaces for infinite boundary value problems related to fully nonlinear, uniformly elliptic operators.
Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a liouville type theorem / Birindelli, I.; Demengel, F.; Leoni, F.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 41:7(2021), pp. 3021-3029. [10.3934/dcds.2020395]
Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a liouville type theorem
Birindelli I.
;Leoni F.
2021
Abstract
We prove gradient boundary blow up rates for ergodic functions in bounded domains related to fully nonlinear degenerate/singular elliptic operators. As a consequence, we deduce the uniqueness, up to constants, of the ergodic functions. The results are obtained by means of a Liouville type classification theorem in half-spaces for infinite boundary value problems related to fully nonlinear, uniformly elliptic operators.| File | Dimensione | Formato | |
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Note: https://www.aimsciences.org/article/doi/10.3934/dcds.2020395
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