Published Paper

Inserted: 30 nov 2021
Last Updated: 22 jul 2022

Journal: Adv. Calc. Var.
Year: 2021
Doi: https://doi.org/10.1515/acv-2021-0100

Abstract:

We obtain new concavity results, up to a suitable transformation, for a class of quasi-linear equations in a convex domain involving the $p$-Laplace operator and a general nonlinearity satisfying concavity type assumptions. This provides an extension of results previously known in the literature only for the torsion and the eigenfunction equations. In the semilinear case $p=2$ the results are already new since they include new admissible nonlinearities.