Thursday, June 27, 2024 — 12:00 pm — aula M2.5, edificio Matematica
Abstract multiplicity theorems and applications to critical growth problems
We present some abstract multiplicity theorems that can be used to obtain multiple nontrivial solutions of critical growth p-Laplacian type problems. We show that the problems considered here have arbitrarily many solutions for all sufficiently large values of a certain parameter lambda > 0. In particular, the number of solutions goes to infinity as lambda to infinity. Moreover, we give an explicit lower bound on lambda in order to have a given number of solutions.