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