Calculus of Variations and Geometric Measure Theory

N. Almousa - C. Bucur - R. Cornale - M. Squassina

Concavity principles for nonautonomous elliptic equations and applications

created by squassina on 09 Aug 2023
modified on 01 Sep 2023

[BibTeX]

Accepted Paper

Inserted: 9 aug 2023
Last Updated: 1 sep 2023

Journal: Asymptotic Analysis
Pages: 15
Year: 2023

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.


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