具有非线性振荡的分数阶椭圆方程的正解

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2025-02-21 DOI:10.1007/s13540-025-00379-4

Francisco J. S. A. Corrêa, César E. T. Ledesma, Alânnio B. Nóbrega

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引用次数: 0

摘要

本文研究了以下半线性问题正解的存在性和多重性：其中 \(f\in C([0,\infty ),{\mathbb {R}})\) 表示满足一类面积条件的振荡非线性。我们的主要分析工具包括变分法和子上解法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

On positive solutions of fractional elliptic equations with oscillating nonlinearity

This paper investigates the existence and multiplicity of positive solutions to the following semilinear problem:

where \(f\in C([0,\infty ),{\mathbb {R}})\) represents an oscillating nonlinearity that satisfies a type of area condition. Our main analytical tools include variational methods and the sub-supersolution method.

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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.