Abstract
In this paper, we study a nonlocal eigenvalue problem involving variable exponent growth conditions, on a bounded domain $\Omega \subset \mathbb{R}^n$. Using adequate variational techniques, mainly based on Ekeland's variational principle, we establish the existence of a continuous family of eigenvalues lying in a neighborhood at the right of the origin.
Citation
E. Azroul. A. Benkirane. M. Shimi. "Eigenvalue problems involving the fractional $p(x)$-Laplacian operator." Adv. Oper. Theory 4 (2) 539 - 555, Spring 2019. https://doi.org/10.15352/aot.1809-1420
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