Notes on the Stationary p-Laplace Equation

• Main Author: Lindqvist, Peter (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Mathematics, general.

This book in the BCAM SpringerBriefs series is a treatise on the p-Laplace equation. It is based on lectures by the author that were originally delivered at the Summer School in Jyväskylä, Finland, in August 2005 and have since been updated and extended to cover various new topics, including visco...

Table of Contents:

• 1 Introduction
• 2 The Dirichlet problem and weak solutions
• 3 Regularity theory
• 4 Differentiability
• 5 On p-superharmonic functions
• 6 Perron's method
• 7 Some remarks in the complex plane
• 8 The infinity Laplacian
• 9 Viscosity solutions
• 10 Asymptotic mean values
• 11 Some open problems
• 12 Inequalities for vectors.