ECTS Credits: 6

Introduction to non-linear PDEs
Eric SERE

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.
Brouwer degree, Leray-Schauder degree, fixed-point theorems.
Local and global bifurcation theory applied to nonlinear elliptic PDEs.


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