Final oral exam.
To deepen/complete the knowledge in functional analysis and variational methods. To confront with classical problems in the Calculus of Variations and to learn the corresponding basic results and techniques.
Content of the course.
A. Braides. Gamma Convergence for Beginners, Oxford University Press, 2002.
H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer, 2011.
B. Dacorogna. Direct Methods in the Calculus of Variations, Springer, 1989.
A. Ambrosetti, A. Malchiodi. Nonlinear Analysis and Semilinear Elliptic Problems, Cambridge University Press, 2010.