Tuesday, May 24, 2022 — 3:15 pm — aula M2.4, edificio Matematica
A system of superlinear elliptic equations in a cylinder
Abstract: In the talk, I will present some results on the existence of positive solutions of a semi-linear elliptic system defined in a cylinder. The system couples a superlinear equation defined in the whole cylinder with another superlinear (or linear) equation defined at the bottom of the cylinder. We provide a priori bounds for all positive solutions of the system when the nonlinear terms satisfy certain growth conditions. Using the a priori bounds and topological arguments, we prove the existence of positive solutions for these particular semi-linear elliptic systems.
This is a joint work with Bernhard Ruf.