具有次自然增长项的准线性 Lane-Emden 型系统

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2024-02-26 DOI:10.1016/j.na.2024.113516

Estevan Luiz da Silva , João Marcos do Ó

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引用次数: 0

摘要

对于涉及 "亚线性增长 "率测量的准线性 Lane-Emden 型系统，我们获得了全局点估计。我们给出了以沃尔夫势表示的存在的必要条件和充分条件。我们的方法基于 Kilpeläinen 和 Malý 在势理论方面的最新进展。这种方法使我们能够处理一些问题，如涉及一般准线性算子和分数拉普拉斯的方程。

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Quasilinear Lane–Emden type systems with sub-natural growth terms

Global pointwise estimates are obtained for quasilinear Lane–Emden-type systems involving measures in the “sublinear growth” rate. We give necessary and sufficient conditions for existence expressed in terms of Wolff’s potential. Our approach is based on recent advances due to Kilpeläinen and Malý in the potential theory. This method enables us to treat several problems, such as equations involving general quasilinear operators and fractional Laplacian.

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

期刊介绍： Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. Review articles on important topics in Nonlinear Analysis are welcome as well. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication.