Local versus nonlocal in strongly singular problems

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-07-18 DOI:10.1016/j.jmaa.2025.129904

F. Faraci, D. Puglisi

引用次数: 0

Abstract

Moving from the properties of solutions of semilinear Dirichlet problems with strong singular terms, we wonder which kind of nonlocal term should be allowed in the presence of a strong singularity. The existence of a solution is obtained via approximation techniques. Uniqueness is also discussed.

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强奇异问题中的局部与非局部

从具有强奇异项的半线性狄利克雷问题解的性质出发，讨论了在强奇异项存在的情况下，哪一种非定域项是允许存在的。解的存在性通过近似技术得到。还讨论了唯一性。

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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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.