APDE seminar@BCAM: Behavior of the ground state energy under weak perturbation of critical quasilinear operators on $\mathbb{R}^N$
Date: Thu, Apr 30 2026
Hour: 17:00 - 18:00
Location: Maryam Mirzakhani Seminar Room at BCAM
Speakers: 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.
Organizers:
APDE Bilbao (EHU & BCAM)
Confirmed speakers:
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