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Low Perturbations for a Class of Nonuniformly Elliptic Problems
Mediterranean Journal of Mathematics ( IF 1.1 ) Pub Date : 2020-06-23 , DOI: 10.1007/s00009-020-01551-1
Anouar Bahrouni , Dušan D. Repovš

In this paper, we introduce and study a new functional which was motivated by the work of Bahrouni et al. (Nonlinearity 31:1518–1534, 2018) on the Caffarelli–Kohn–Nirenberg inequality with variable exponent. We also study the eigenvalue problem for equations involving this new functional.

中文翻译:

一类非均匀椭圆问题的低摄动

在本文中,我们介绍并研究了一种新功能,该功能是受Bahrouni等人的工作启发而来的。(非线性31:1518–1534,2018)关于具有可变指数的Caffarelli–Kohn–Nirenberg不等式。我们还研究了涉及此新函数的方程的特征值问题。
更新日期:2020-06-23
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