Low Perturbations for a Class of Nonuniformly Elliptic Problems.

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. [ABSTRACT FROM AUTHOR]