On a Hamiltonian elliptic system with concave-convex nonlinearities
Oscar Agudelo (Universität Pilsen)
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathematik/mathematik/kalender/2022/2022-11-09b
- On a Hamiltonian elliptic system with concave-convex nonlinearities
- 2022-11-09T17:00:00+01:00
- 2022-11-09T17:00:00+01:00
- Oscar Agudelo (Universität Pilsen)
09.11.2022 von 17:00 bis 17:00 (Europe/Berlin / UTC100)
Hörsaal (1. Stock, Raum 111) im Mathematischen Institut, Arndtstraße 2
Abstract: In this talk we discuss a Hamiltonian elliptic system of equations with Dirichlet boundary condition and with non-linearities that are concave near the origin and convex and superlinear at infinity. The concavity of the non-linearities depends on non-negative parameters λ and μ and we provide regions for the pairs (λ, μ) guaranteeing existence and non-existence of non-negative solutions. This work is inspired by the seminal work for the single equation done by Ambrosetti, Brezis and Cerami.
This is a joint work with Berhand Ruf and Carlos Velez.