Extremum Problems for Eigenvalues of Elliptic Operators

This book focuses on extremal problems. For instance, it seeks a domain which minimizes or maximizes a given eigenvalue of the Laplace operator with various boundary conditions and various geometric constraints. Also considered is the case of functions of eigenvalues. The text investigates similar questions for other elliptic operators, such as Schrödinger, p-Laplacian, or bi-Laplacian, and looks at optimal composites and optimal insulation problems in terms of eigenvalues.