Seminari del Dipartimento di Matematica

Seminario del 2021

Shirsho, Mukherjee

On minimax characterization in non-linear eigenvalue problems

nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI

analisi matematica

In this talk, we shall exhibit a mini-max characterization of the second eigenvalue of the p-Laplacian operator on p-quasi-open sets, using a construction based on minimizing movements on non-linear gradient flows. The following outline shall be presented: the notion of non-linear eigenvalues and their properties, the statement of the characterization, the notion of Quasi-open sets, and a sketch of the proof of the theorem. This is based on a joint work with Nicola Fusco and Yi Zhang.