Bøger af Giovanni Leoni

Sobolev spaces are a fundamental tool in the modern study of partial differential equations. This book takes a novel approach to the theory by looking at Sobolev spaces as the natural development of monotone, absolutely continuous, and BV functions of one variable.

Provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of variations, partial differential equations, and harmonic analysis. The book can serve as a reference for mathematicians working in the calculus of variations and partial differential equations as well as for researchers in other disciplines.

This book presents in a unified way both classical and contemporary results in the Calculus of Variations. It brings together in one place the contemporary developments in the calculus of variations based on a series of lectures at Carnegie Mellon University.