The paper introduces the logarithmic p-Laplacian and proves its first eigenvalue is the s to 0 derivative of the fractional p-Laplacian eigenvalue, with eigenfunction convergence, maximum principles, and a boundary Hardy inequality.
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The Dirichlet Problem For the Logarithmic p-Laplacian
The paper introduces the logarithmic p-Laplacian and proves its first eigenvalue is the s to 0 derivative of the fractional p-Laplacian eigenvalue, with eigenfunction convergence, maximum principles, and a boundary Hardy inequality.