cvgmt: The asymptotic behavior of the first Robin eigenvalue with negative parameter as $p$ goes to $+\infty$

Calculus of Variations and Geometric Measure Theory

R. Barbato - F. de Giovanni - A. L. Masiello

The asymptotic behavior of the first Robin eigenvalue with negative parameter as $p$ goes to $+\infty$

created by degiovanni on 23 Feb 2026

[BibTeX]

Published Paper

Inserted: 23 feb 2026
Last Updated: 23 feb 2026

Journal: Communications in Contemporary Mathematics
Year: 2026
Doi: https://doi.org/10.1142/S021919972650032X

Links: https://www.worldscientific.com/doi/epdf/10.1142/S021919972650032X

Abstract:

In this paper, we want to study the asymptotic behavior of the first $p$-Laplacian eigenvalue, with Robin boundary conditions, with negative boundary parameter. In particular, we prove that the limit of the eigenfunctions is a viscosity solution for the infinity Laplacian eigenvalue problem.