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Preprint Sep 2026

Dirichlet Eigenvalues for the Logarithmic-Hardy operator

In this paper, we study the Dirichlet eigenvalue problem for the logarithmic Hardy operator, defined as the logarithmic Laplacian with a critical logarithmic potential, in a bounded Lipschitz domain containing the origin. We first establish a logarithmic Hardy inequality and use it to identify the associated energy spa...

Tang-Rui Liao, Ying Wang, Ming-Hua Yang · 0 citations

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