Existence and uniqueness of positive solution to a new class of nonlocal elliptic problem with parameter dependency

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-09-12 DOI:10.1186/s13661-024-01924-5

Chahinez Bellamouchi, Mohamed Karim Hamdani, Salah Boulaaras

引用次数: 0

Abstract

In this paper, we prove that under weak assumptions on the reaction terms and diffusion coefficients, a positive solution exists for a one-dimensional case and a positive radial solution to a multidimensional case of a nonlocal elliptic problem. Additionally, we establish the uniqueness of the solution, with the fixed point theorem being the primary tool employed. Our results are new and generalize several existing results.

查看原文本刊更多论文

一类新的参数依赖性非局部椭圆问题正解的存在性和唯一性

在本文中，我们证明了在反应项和扩散系数的弱假设条件下，非局部椭圆问题的一维正解和多维正径向解是存在的。此外，我们还利用定点定理这一主要工具建立了解的唯一性。我们的结果是新的，并概括了若干现有结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.