Calculus of Variations

Third-cycle level | 7.5 credits | Course code: NFMV017
VT 2022
Study period: 2022-03-21 - 2022-06-05
LANGUAGE OF INSTRUCTION: The course is given in English
Application period: 2021-10-01 - 2022-03-07

Course description

Part I. Fundamental topics: 

Variational problems and Euler-Lagranger equations

Existence, uniqueness and regularity of minimizers of coercive convex functionals

Variational problems with constraints

Part II. Advanced topics:

Concentration-Compactness Lemma

Symmetric decreasing rearrangements

Minimizers of the energy functional of self-gravitating fluids 

Requirements and Selection

Entry requirements

Several variables calculus, Sobolev spaces, basic knowledge in partial differential equations and functional analysis. Some basic tools (e.g., the notion of weak convergence in Sobolev spaces) will be reviewed in the course


Not relevant

Course syllabus



Department of Mathematical Sciences


Natural Science and Mathematics

Type of course

Subject area course


calculus of variations

CONTACTSimone Calogero