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Let $D=\{\rho<0\}$ be a smooth domain of finite type in an almost complexmanifold (M,J) of real dimension four. We assume that the defining function$\rho$ is J-plurisubharmonic on a neighborhood of $\overline{D}$. We study theasymptotic behavior of pseudoholomorphic discs contained in the domain D.

A note on the geometry of pseudoconvex domains of finite type in almost complex manifolds