一类含分数阶p-拉普拉斯边值问题正解的存在性与正则性

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI:10.1007/s10255-025-0044-3

Peng-cheng Wu, Yi-sheng Huang, Yu-ying Zhou

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引用次数: 0

摘要

本文利用Stampacchia截断法、一些比较技巧和变分方法，研究了一类包含分数阶p-拉普拉斯算子的边值问题正解的存在性和正则性，其中非线性项满足某些生长条件，但不满足Ambrosetti和Rabinowitz条件。

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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Existence and Regularity of Positive Solutions for a Boundary Value Problem Involving the Fractional p-Laplacian

In the paper, by exploring Stampacchia truncation method, some comparison techniques and variational approaches, we study the existence and regularity of positive solutions for a boundary value problem involving the fractional p-Laplacian, where the nonlinear term satisfies some growth conditions but without the Ambrosetti and Rabinowitz condition.

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来源期刊

Acta Mathematicae Applicatae Sinica, English Series 数学-应用数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Acta Mathematicae Applicatae Sinica (English Series) is a quarterly journal established by the Chinese Mathematical Society. The journal publishes high quality research papers from all branches of applied mathematics, and particularly welcomes those from partial differential equations, computational mathematics, applied probability, mathematical finance, statistics, dynamical systems, optimization and management science.