Introduction to non linear PDEs

Ects : 6
Compétence à acquérir :
Existence of weak solutions of linear and nonlinear elliptic PDEs by variational methods.
Regularity of weak solutions to linear and nonlinear elliptic PDEs.
Maximum principles and applications.
Fixed point theorems applied to nonlinear elliptic PDEs.
Bifurcation theory applied to nonlinear elliptic PDEs.

Description du contenu de l'enseignement :
Existence of weak solutions of linear and nonlinear elliptic PDEs by variational methods.
Regularity of weak solutions to linear and nonlinear elliptic PDEs.
Maximum principles and applications.
Fixed point theorems applied to nonlinear elliptic PDEs.
Bifurcation theory applied to nonlinear elliptic PDEs.