Notes on the Infinity Laplace Equation

Peter LindqvistProfessor of Mathematics Department of Mathematical Sciences Norwegian University of Science and Technology Trondheim, Norway Research interests: Analysis, in particular partial differential equations and "nonlinear potential theory"

“This book is an excellent introduction to the infinity Laplacian— it is informative and has up-to-date references.” (Fernando Charro, Mathematical Reviews, April 2017)

• 1 Introduction.- 2 Preliminaries.- 3 Variational Solutions.- 4 Viscosity Solutions.- 5 An Asymptotic Mean Value Formula.- 6 Comparison with Cones.- 7 From the Theory of Viscosity Solutions.- 8 Uniqueness of Viscosity Solutions.- 9 Tug-of-War.- 10 The Equation 1v = F.