APDE seminar@BCAM: Behavior of the ground state energy under weak perturbation of critical quasilinear operators on $\mathbb{R}^N$

Data: Og, Api 30 2026

Ordua: 17:00 - 18:00

Lekua: Maryam Mirzakhani Seminar Room at BCAM

Hizlariak: Ujjal Das (BCAM)

Abstract

In this talk, we will consider a critical quasilinear operator $-\Delta_p [u] + V|u|^{p-2}u$ in $\mathbb{R}^N$ perturbed by a weakly coupled potential. For $N > p$, we find the leading asymptotic of the lowest eigenvalue of such an operator in the weak coupling limit separately for $N > p^2$ and $N \leq p^2$. This talk will be based on my recent work with Hynek Kovarik and Yehuda Pinchover.

Antolatzaileak:

APDE Bilbao (EHU & BCAM)

Hizlari baieztatuak:

Ujjal Das (BCAM)