The obtaining of sharp estimates for the asymptotic behaviour of the eigenvalues of the (semi-elliptic) operator acting in the anisotropic Sobolev space
generated by the quadratic form is investigated. Here is an appropriate self-affine fractal measure on the unit disc .
Cite this article
W. Farkas, The Behaviour of the Eigenvalues for a Class of Operators Related to some Self-Affine Fractals in . Z. Anal. Anwend. 18 (1999), no. 4, pp. 875–893DOI 10.4171/ZAA/920