数学
非线性系统
数学分析
各向异性
指数
对称(几何)
索波列夫空间
变量(数学)
牙石(牙科)
章节(排版)
纯数学
数学物理
几何学
量子力学
物理
业务
牙科
哲学
广告
医学
语言学
作者
Youpei Zhang,Xianhua Tang,Vicenţiu D. Rădulescu
摘要
Weighted inequality theory for fractional integrals is a relatively less known branch of calculus that offers remarkable opportunities to simulate interdisciplinary processes. Basic weighted inequalities are often associated to Hardy, Littlewood and Sobolev [6, 11], Caffarelli, Kohn and Nirenberg [4], respectively to Stein and Weiss [12]. A key attempt in the present paper is to prove a Stein–Weiss inequality with lack of symmetry and variable exponents. We quantify the defect of symmetry of the potential by considering the gap between the minimum and the maximum of the variable exponent. We conclude our work with a section dealing with the existence of stationary waves for a class of nonlocal problems with Choquard nonlinearity and anisotropic Stein–Weiss potential.
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