Principal eigenvalue problem for infinity Laplacian in metric spaces

This article is concerned with the Dirichlet eigenvalue problem associated with the ∞\infty -Laplacian in metric spaces. We establish a direct partial differential equation approach to find the principal eigenvalue and eigenfunctions in a proper geodesic space without assuming any measure structure....

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Bibliographic Details
Main Authors: Liu Qing, Mitsuishi Ayato
Format: Article
Language:English
Published: De Gruyter 2022-10-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2022-0028