Examination procedure
seminar relation, oral exam
Examination procedure notes
questions in class, personal appointments
Prerequisites
Functional Analysis, Elliptic Theory, Base notions in
Calculus of Variations. Suggested to Ph.D. students and
V-year Master students.
Syllabus
Introduction and Motivation
Problems with Critical Exponents
Existence of Extremals
Principle of Compactness by Concentration
Minimal and Min-Max Solutions
Time Permitting: Rellich Conjecture
Bibliographical references
Struwe: Variational Methods
Ambrosetti-Malchiodi: Nonlinear Analysis and Semilinear
Elliptic Problems
Aubin: Some nonlinear problems in Riemannian Geometry