Abstract
In this paper we study a periodic homogenization problem for a quasilinear elliptic equation that present a partial degeneracy of hypoelliptic type. A convergence result is obtained by finding uniform barrier functions and the existence of the invariant measure to the associate diffusion problem that is used to identify the limit equation.
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Mannucci, P., Stroffolini, B. Periodic homogenization under a hypoellipticity condition. Nonlinear Differ. Equ. Appl. 22, 579–600 (2015). https://doi.org/10.1007/s00030-014-0296-8
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DOI: https://doi.org/10.1007/s00030-014-0296-8