Alexander I. Nazarov, professor at St. Petersburg State University, leading researcher at POMI RAS, will read a course of lectures
"Additional chapters in the calculus of variations" as part of of the Mathematical Center in Akademgorodok.
The mini-course will be held on
November 5鈥�8:
- Lecture 1 鈥� November 5 at 4:20 pm, online
- Lecture 2 鈥� November 6 at 2:30 pm, online
- Lecture 3 鈥� November 6 at 4:20 pm, online
- Lecture 4 鈥� November 7 at 2:30 pm, online
- Lecture 5 鈥� November 7 at 4:20 pm, online
- Lecture 6 鈥� November 8 at 4:20 pm, room 5234 NSU and online
Direct methods of the calculus of variations. Nehari's method. Mountain pass theorem and its applications. Uniqueness of the solution. Symmetry of the solution. Moving plane method. Asymmetric solutions. Multiple solutions. Pohozhaev's identity. Non-existence of solutions. Lions' principle (locally compact case). Minimizing functions in limit embedding theorems. Non-existence of a minimizer in a limited area. Equations with critical growth of the right-hand side. Lyons principle. Examples of the existence of solutions.
