Nonlinear PDEs: Elliptic equations
Additional Info
- ECTS credits: 5
- University: Leibniz University Hannover
- Semester: 3
- Lecturer 1: Johannes Lankeit
- Lecturer 2: Christoph Walker
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Objectives:
Various natural phenomena can be described by partial differential equations.
For realistic models the equations are mostly nonlinear. In this lecture
existence results for nonlinear elliptic boundary value problems
are presented based on fixed point methods and variational methods. -
Topics:
Fixed point theorems of Schauder and Leray-Schauder
The direct method of calculus of variations
Mountain-Pass Lemma
Sub-supersolution method
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Course units