Concavity principles for nonautonomous elliptic equations and applications
Analysis of PDEs
2023-09-01 v3
Abstract
In the study of concavity properties of positive solutions to nonlinear elliptic partial differential equations the diffusion and the nonlinearity are typically independent of the space variable. In this paper we obtain new results aiming to get almost concavity results for a relevant class of anisotropic semilinear elliptic problems with spatially dependent source and diffusion.
Keywords
Cite
@article{arxiv.2307.05822,
title = {Concavity principles for nonautonomous elliptic equations and applications},
author = {Nouf Almousa and Claudia Bucur and Roberta Cornale and Marco Squassina},
journal= {arXiv preprint arXiv:2307.05822},
year = {2023}
}
Comments
16 pages, types corrected, to appear on Asymptotic Analysis