On elliptic problems with Choquard term and singular nonlinearity

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2022-11-14 DOI:10.3233/ASY-221812

D. Choudhuri, Dušan D. Repovš, K. Saoudi

引用次数: 0

Abstract

Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show that if the problem has a positive solution, then it is bounded a.e. in the domain Ω and is Hölder continuous.

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具有Choquard项和奇异非线性的椭圆型问题

利用变分方法，建立了一类由一个Choquard项和一个奇异非线性驱动的椭圆型问题的无穷多个解的存在性。我们进一步证明，如果问题有一个正解，那么它在Ω域中有界a.e.，并且是Hölder连续的。

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

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.