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A fractional Orlicz-Sobolev eigenvalue problem and related Hardy inequalities. (arXiv:1807.03209v1 [math.AP])
来源于:arXiv
In this article we define the first Dirichlet eigenvalue for the fractional
$g-$Laplacian and we prove diverse properties on it, including isolation,
positivity of its eigenfunctions and its behaviour as $s\to 1^+$. In the second
part of this manuscript we prove some modular and norm Hardy inequalities in
fractional Orlicz-Sobolev spaces, which provide for lower bounds of eigenvalues
in certain configurations. 查看全文>>