Abstract

Analogues of Hadamard's classical variational formula are presented for the Dirichlet integral of a normalized harmonic function under deformations of its domain of definition. Variational formulae for quadratic forms with coefficients depending on the inner radii, Robin radii, Green's functions and Robin functions of the domains under consideration are also presented. Bibliography: 17 titles.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call