Doc-Course: “Partial Differential Equations: Analysis, Numerics and Control”

Event Details

This event finished on 23 April 2018.

Research Unit 4: Nonlinear elliptic partial differential equations

Unit description

The main goals of this Research Unit are twofold: on the one hand, we try to show some tools and methods of nonlinear functional analysis to study nonlinear elliptic equations; and on the other hand, to present some applications of these results to specific problems arising from population dynamics.
Specifically, we describe monotony methods, variational methods (minima, the mountain pass theorem) and local and global bifurcations. Of course, a review of linear theory (existence, uniqueness, regularity, maximum principle) is mandatory.
These methods will be extensively applied to different examples and models.

Course program

Linear elliptic problems. Maximum principle.
The sub-supersolution method. Variational methods. Local and global bifurcations.
Elliptic Problems arising in population dynamics.
Kirchhoff-Nonlocal elliptic equations.
Elliptic equations with critical growth in the gradient.

Schedule of the Course 4

All course events will be held on Conference Room.

You can find further information here.

Date Professor Institution Time
18/04/2018 Antonio Suárez Fernández Universidad de Sevilla 10:00 - 11:30
12:00 - 13:30
19/04/2018 Salvador Villegas Universidad de Granada 10:00 - 11:30
12:00 - 13:30
20/04/2018 José Carmona Universidad de Granada 10:00 - 11:30
12:00 - 13:30
23/04/2018 David Arcoya Universidad de Granada 12:00 - 13:30
16:30 - 18:00