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- W4287782007 abstract "We study the eigenvalue problem for the $g-$Laplacian operator in fractional order Orlicz-Sobolev spaces, where $g=G'$ and neither $G$ nor its conjugated function satisfy the $Delta_2$ condition. Our main result is the existence of a nontrivial solution to such a problem; this is achieved by first showing that the corresponding minimization problem has a solution and then applying a generalized Lagrange multiplier theorem to get the existence of an eigenvalue. Further, we prove closedness of the spectrum and some properties of the eigenvalues and, as an application, we show existence for a class of nonlinear eigenvalue problems." @default.
- W4287782007 created "2022-07-26" @default.
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- W4287782007 date "2020-05-04" @default.
- W4287782007 modified "2023-09-26" @default.
- W4287782007 title "Fractional eigenvalues in Orlicz spaces with no $Delta_2$ condition" @default.
- W4287782007 doi "https://doi.org/10.48550/arxiv.2005.01847" @default.
- W4287782007 hasPublicationYear "2020" @default.
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