Existence and Regularity Results for Some Shape Optimization Problems

ISBN-13: 9788876425264 / Angielski / Miękka / 2015 / 349 str.

Bozhidar Velichkov

Opis

� We study the existence and regularity of optimal domains for functionals depending on the spectrum of the Dirichlet Laplacian or of more general Schrodinger operators.

Spis treści

1. Introduction and examples.- 2. Shape optimization problems in a box.- 3. Capacitary measures.- 4. Subsolutions of shape functionals.- 5. Shape supersolutions and quasi-minimizers.- 6. Spectral optimization problems in R^d.- 7. Shape optimization problems for graphs.- Bibliography.