Abstract
In this paper, we establish the existence of two positive constants \(\lambda _0\) and \(\lambda _1\) with \(\lambda _0\leqslant \lambda _1\), such that any \(\lambda \in [\lambda _1, \infty )\) is an eigenvalue, while any \(\lambda \in (0,\lambda _0)\) is not an eigenvalue, for a Kirchhoff type problem driven by nonlocal operators of elliptic type in a fractional Orlicz-Sobolev space, with Dirichlet boundary conditions.
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Azroul, E., Benkirane, A. & Srati, M. Eigenvalue problem associated with nonhomogeneous integro-differential operators . J Elliptic Parabol Equ 7, 47–64 (2021). https://doi.org/10.1007/s41808-020-00092-8
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DOI: https://doi.org/10.1007/s41808-020-00092-8