Alexey Filinovskiy
(2014)
We consider the Robin eigenvalue problem in , on where , is a bounded domain and is a real parameter. We investigate the behavior of the eigenvalues of this problem as functions of the parameter . We analyze the monotonicity and convexity properties of the eigenvalues and give a variational proof of the formula for the derivative . Assuming that the boundary is of class we obtain estimates to the difference between the -th eigenvalue of the Laplace operator with...