Nonlinear Maxwell equations — a variational approach (Summer Semester 2018)
- Lecturer: Dr. Jaroslaw Mederski (Visiting Professor)
- Classes: Lecture (0154620)
- Weekly hours: 2
|Lecture:||Wednesday 11:30-13:00||Room 3.060 Build. 20.30||Begin: 9.5.2018|
|Thursday 9:45-11:15||Room 3.060 Build. 20.30|
|Please note the exact dates below!|
WED May 9, 11:30-13:00
WED May 16, 11:30-13:00
THU May 24, 9:45-11:15
WED May 30, 11:30-13:00
WED June 6, 11:30-13:00
THU June 7, 9:45-11:15
WED June 13, 11:30-13:00
THU June 14, 9:45-11:15
WED June 20, 11:30-13:00
WED July 11, 11:30-13:00
All lectures will take place in room 3.060 (Build. 20.30).
Plan of the lectures
- Nonlinear Dirichlet problem on a bounded domain. Mountain Pass Theorem and Nehari manifold approach.
- General conditions imposed on the nonlinear term. Mountain Pass Theorem vs. Nehari manifold approach.
- Functional and variational setting for the curl-curl equation on a bounded domain.
- The role of the cylindrical symmetry in the curl-curl problems.
- Generalized Nehari manifold approach for strongly indefinite problems. Critical point theory I.
- Generalized Nehari manifold approach for strongly indefinite problems. Critical point theory II.
- Ground state solutions and the multiplicity of bound state solutions.
- Curl-curl equations in $\R^3$ and the lack of compactness.
- Recent results and the list of open problems.
There will be no examinations.