Concavity principles for nonautonomous elliptic equations and applications-Reference-Cited by-同舟云学术

Concavity principles for nonautonomous elliptic equations and applications

Published:2023-11-10 Issue:3-4 Volume:135 Page:509-524
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Almousa Nouf¹^ORCID,Bucur Claudia²^ORCID,Cornale Roberta³,Squassina Marco¹³^ORCID

Affiliation:

1. Princess Nourah Bint Abdul Rahman University, PO Box 84428, Riyadh, Saudi Arabia

2. Università degli Studi di Milano, Via Saldini 50, 20133, Milano, Italy

3. Università Cattolica del Sacro Cuore, Via della Garzetta 48, 25133, Brescia, Italy

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.

Publisher

IOS Press

Subject

General Mathematics

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