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Concavity principles for nonautonomous elliptic equations and applications

Authors :
Almousa, Nouf
Bucur, Claudia
Cornale, Roberta
Squassina, Marco
Publication 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.<br />Comment: 16 pages, types corrected, to appear on Asymptotic Analysis

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2307.05822
Document Type :
Working Paper