Tytuł pozycji:
The regularity of measures and related properties of eigenfunctions and first eigenvalues of some fractal elliptic operators
The paper deals with regularity properties of potentials of Radon measures u in IR^n, expressed in terms of some fractal quantities of u (Theorem 1). Based on these assertions, first eigenvalues and eigenfunctions of some fractal elliptic operators are considered (Theorems 2 and 3). The results are illustrated by examples.
Dedicated to Professor Musielak on the occasion of his 75th birthday.