On the eigenvalue problem involving the weighted p-Laplacian in radially symmetric domains
https://doi.org/10.1016/j.jmaa.2018.08.046Publisher, magazine: ,
Publication year: 2018
Lưu Trích dẫn Chia sẻAbstract
We investigate the following eigenvalue problem where , is a parameter, the weights L and K are measurable with L positive a.e. in and K possibly sign-changing in . We prove the existence of the first eigenpair and discuss the regularity and positiveness of eigenfunctions. The asymptotic estimates for and as or are also investigated.
Tags: The weighted p-Laplacian, The first eigenvalue, Exterior domain, Regularity, Asymptotic behavior, Maximum principles, Variational method
Các bài viết liên quan đến tác giả Pavel Drábek
On the eigenvalue problem involving the weighted p-Laplacian in radially symmetric domains
The Fredholm alternative for the p-Laplacian in exterior domains