Optimality conditions of the first eigenvalue of a fourth order Steklov problem
Monika Laskawy · Communications on Pure & Applied Analysis · 2017
In this paper we compute the first and second general domain variation of the first eigenvalue of a fourth order Steklov problem. We study optimality conditions for the ball among domains of given measure and among domains of given perimeter. We show that in both cases the ball is a local minimizer among all domains of equal measure and perimeter.