TY  - BOOK
AU  -  Katzourakis, Nikos
TI  - An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L
SN  - 978-3-319-12829-0
CY  - New York: 
PB  - Springer
N1  - General Theory

History, Examples, Motivation and First Definitions


Second Definitions and Basic Analytic Properties of the Notions

Stability Properties of the Notions and Existence via Approximation


Mollification of Viscosity Solutions and Semiconvexity


Existence of Solution to the Dirichlet Problem via Perron’s Method


Comparison Results and Uniqueness of Solution to the Dirichlet Problem

Applications

Minimisers of Convex Functionals and Existence of Viscosity Solutions to the Euler-Lagrange PDE

Existence of Viscosity Solutions to the Dirichlet Problem for the ∞∞-Laplacian

Miscellaneous Topics and Some Extensions of the Theory

UR  - http://link.springer.com/openurl?genre=book&isbn=978-3-319-12828-3
ER  -