Functions of Least Gradient
Functions of Least Gradient
English | 2024 | ISBN: 3031518802 | 456 Pages | PDF EPUB (True) | 52 MB
English | 2024 | ISBN: 3031518802 | 456 Pages | PDF EPUB (True) | 52 MB
This book is devoted to the least gradient problem and its variants. The least gradient problem concerns minimization of the total variation of a function with prescribed values on the boundary of a Lipschitz domain. It is the model problem for studying minimization problems involving functionals with linear growth. Functions which solve the least gradient problem for their own boundary data, which arise naturally in the study of minimal surfaces, are called functions of least gradient.