Eigenfrequencies of nonisotropic fractal drums

Let ΓΓ be a regular nonisotropic fractal. The aim of the paper is to investigate the distribution of the eigenvalue of the fractal differential operator(-Δ)-1∘trΓ(-Δ)-1∘trΓacting in the anisotropic Sobolev space W21,α(R2), where (-Δ)-1(-Δ)-1 is the inverse of the Dirichlet Laplanian in R2R2 and trΓtrΓ is closely related to the trace operator trΓtrΓ.