A set in Rd is called regular if its Hausdorff dimension coincides with its upper box counting dimension. It is proved that a random graph-directed self-similar
Let X be a Banach space and {ej}j=1 be a sequence in X.The author shows e ∞that {ej}∞j+1 is a basic sequence if and only if ∑n∞=1 rnαnj converges for every
In this paper an existence and uniqueness theorem of positive solutions to a class of semilinear elliptic systems is proved. Also, a necessary condition for the