On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content

A monotonicity result for the first Steklov–Dirichlet Laplacian eigenvalue

“…At the mean time, the optimal placement of an obstacle has been studied, so as to maximize or minimize a prescribed functional (e.g. the Dirichlet heat content [15], the first Steklov eigenvalue [10]).…”