\(\mathbb {R}^N\)上新的对数加权adams型不等式及相关拟线性非齐次方程

IF 0.9 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2025-10-21 DOI:10.1007/s10231-025-01624-6

Rahma Jlel

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引用次数: 0

摘要

本文建立了二阶Sobolev空间中涉及无界或衰减径向权的具有对数权的Adams型泛函不等式。这些不等式是新颖的，清楚地突出了这些权重的重要性。作为这些不等式的一个应用，我们在本文的最后一部分研究了一些涉及指数临界增长的拟线性方程。

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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New log-weighted adams-type inequalities on \(\mathbb {R}^N\) and related quasilinear nonhomogeneous equations

In this paper, we establish new functional inequalities of Adams type with a logarithmic weight, involving unbounded or decaying radial weights in second-order Sobolev spaces. These inequalities are novel and clearly highlight the importance of such weights. As an application of these inequalities, we study in the last part of this work some quasilinear equations involving exponential critical growth.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.