Speaker
Víctor A. Vicente-Benítez, Universidad Nacional Autónoma de México
Abstract
In this talk, we present recent results on the existence and nonexistence of fully nontrivial least-energy solutions for a quasilinear, purely critical competitive system involving the p-Laplacian.
We establish the existence of pinwheel solutions, that is, fully nontrivial solutions that are invariant under a certain group of isometries and for which each component can be obtained from the first one via a linear isometry.
Finally, we show that a quasilinear equation associated with the p-Laplacian admits infinitely many nodal solutions.
This talk is based on joint work [1] with Mónica Clapp (Institute of Mathematics, National Autonomous University of Mexico, Juriquilla Campus).