An abstract multiplicity result with applications to critical growth elliptic problems
Seminari di Analisi Matematica dell'Università e del Politecnico di Torino
Date: Tuesday, 02 July 2024 14:30 - 15:30
Venue: Kanishka Perera - Aula Magna (Dipartimento di Matematica, Università di Torino)
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 \infty. Moreover, we give an explicit lower bound on \lambda in order to have a given number of solutions.
Speaker
Kanishka Perera
Affiliation
Florida Institute of Technology
Room
Aula Magna
Proposed by
Joerg Seiler
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