Introduction to non linear elliptic PDEs

Crédit : 6 ECTS
Langue du cours : anglais

Volume horaire

• CM : 37.5 h
• Volume horaire global (hors stage) : 37.5 h

Compétences à acquérir

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

Bibliographie, lectures recommandées

• L.C. Evans, Partial Differential equations (Graduate Studies in Mathematics 19, AMS).
• L. Nirenberg, Topics in Nonlinear Functional Analysis (Courant Lecture Notes Series 6, AMS).

Enseignant responsable

ERIC SERE