On the Boundary Ergodic Problem for Fully Nonlinear Equations in Bounded Domains with General Nonlinear Neumann Boundary Conditions

Details On the Boundary Ergodic Problem for Fully Nonlinear Equations in Bounded Domains with General Nonlinear Neumann Boundary Conditions On the Boundary Ergodic Problem for Fully Nonlinear Equations in Bounded Domains with General Nonlinear Neumann Boundary Conditions

2004-09-13

arxiv.org/abs/math/0409208v1

Annales de l'Institut Henri Poincar\'e Analyse non lin\'eaire 22, 5 (2005) 521--541

Mathematics

Analysis of PDEs

Scientific paper

We study nonlinear Neumann type boundary value problems related to ergodic
phenomenas. The particularity of these problems is that the ergodic constant
appears in the (possibly nonlinear) Neumann boundary conditions. We provide,
for bounded domains, several results on the existence, uniqueness and
properties of this ergodic constant.

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