En cours de chargement...
- LINEAR EQUATIONS
- Laplace's equation
- The classical maximum principle
- Poisson's equation and the Newtonian potential
- Banach and Hilbert spaces
- Classical solutions: the Schauder approach
- Sobolev spaces
- Generalized solutions and regularity
- Strong solutions
- QUASILINEAR EQUATIONS
- Maximum and comparison principles
- Topological fixed point theorems and their application
- Equations in two variables
- Hölder estimates for the gradient
- Boundary gradient estimates
- Global and interior gradient bounds
- Equations of mean curvature type
- Fully nonlinear equations.