1. komponenta

Lecture type	Total
Lectures	45

* Load is given in academic hour (1 academic hour = 45 minutes)

COURSE AIMS AND OBJECTIVES: The goal of the course is to introduce students to further methods of nonlinear analysis: differentiable mappings, method of monotone operators, variational method and to present the applications of the developed theory to the analysis of partial differential equations.

COURSE DESCRIPTION AND SYLLABUS:
- Differentiable mappings, inverse and implicit function theorems, bifurcations (5 weeks)
- Monotone operators, super-solutions and sub-solutions, iterations, variational inequalities (4 weeks)
- Variational methods, extrema, Lagrange multipliers (3 weeks)
- Applications to boundary value problems for partial differential equations (3 weeks).

1. Methods of Nonlinear Analysis, P. Drabek, J. Milota, Birkhauser, 2007.
2. Methods in Nonlinear Analysis, K.-C. Chang, Springer, 2005.
3. Nonlinear Functional Analysis and its Applications, I-IV, E Zeidler, Springer.

Enrollment :
Attended : Nonlinear analysis and applications 1

Examination :
Passed : Nonlinear analysis and applications 1

Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics

Izborni modul Nelinearna analiza i primjene - Regular study - Applied Mathematics