非自治椭圆方程的凹性原理及其应用

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED Asymptotic Analysis Pub Date : 2023-07-11 DOI:10.3233/asy-231863

N. Almousa, Claudia Bucur, Roberta Cornale, M. Squassina

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引用次数: 0

摘要

在研究非线性椭圆型偏微分方程正解的凹性性质时，扩散和非线性通常与空间变量无关。本文针对一类相关的具有空间依赖源和扩散的各向异性半线性椭圆问题，得到了一些新的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Concavity principles for nonautonomous elliptic equations and applications

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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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.