An isoperimetric inequality for a biharmonic Steklov problem

Abstract

For the biharmonic Steklov eigenvalue problem considered in this paper, we show that among all bounded Euclidean domains of class $C^1$ with fixed measure, the ball maximizes the first positive eigenvalue.

arXiv comment22 pages. Comments are welcome

References in corpus (2)

• An isoperimetric inequality for the fundamental tone of free plates
• Estimates for eigenvalues of the Neumann and Steklov problems