Eigenvalue problems involving the fractional $p(x)$-Laplacian operator

By Elhoussine Azroul, A. Benkirane, Mohammed Shimi. Advances in Operator Theory, 2019

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In this paper, we study a nonlocal eigenvalue problem involving variable exponent growth conditions, on a bounded domain Ω ⊂ R. 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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

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