The Lecture Note is written in Japanese. We have plans to translate it into English. Note page Note section 1. Introduction of minimizing problems p.23-24, 4.3 2. Weak formula and Finite element method 1 p.21-23, 4.2 3. Finite element method 2      p.26-31, 5.1-5.5 4. Sobolev spaces            p.18-19, 4.1 5. Riesz representation theorem p.19-21, 4.1 6. Weakly compactness p.25, 4.4 7. Existence of minimizer p.24-26, 4.4 8-9. Introduction of free boundary problem Non 10-11. Hyperbolic free boundary problem Non 12. Volume constraint problems Non 13-14. Discrete Morse Flow p.47-57, 8.1-8.2 total 14 videos