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Adimurthi, P · DOI 10.48550/arxiv.2308.11956

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Finsler $p$-Laplacian in domains becoming unbounded

math.AP · 2025-05-28 · conditional · novelty 6.0

Solutions, scaled energies, and first eigenvalues of the Finsler p-Laplacian on long cylinders converge to their cross-sectional limits with explicit rates: polynomial in general, exponential for a structured subclass, and sharp 1/ell^p for the eigenvalue in another subclass.

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  • Finsler $p$-Laplacian in domains becoming unbounded math.AP · 2025-05-28 · conditional · none · ref 1

    Solutions, scaled energies, and first eigenvalues of the Finsler p-Laplacian on long cylinders converge to their cross-sectional limits with explicit rates: polynomial in general, exponential for a structured subclass, and sharp 1/ell^p for the eigenvalue in another subclass.