Catherine Bandle Libros

This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is exampledriven and illustrates the usefulness of domain variations in various applications.

Since the seminal work Inequalities (1934) by Hardy, Littlewood and Polya, mathematicians have laboured to extend and sharpen their classical inequalities.

Presents new developments in the theory of partial differential equations with emphasis on elliptic and parabolic problems Contributions stem from the same school which has been very active in the last decades and has influenced significantly the modern theory of partial differential equations Includes supplementary material: sn. pub/extras