Perturbation results involving the 1-Laplace operator
Analysis of PDEs
2017-02-20 v1
Abstract
We consider perturbed eigenvalue problems of the 1-Laplace operator and verify the existence of a sequence of solutions. It is shown that the eigenvalues of the perturbed problem converge to the corresponding eigenvalue of the unperturbed problem as the perturbation becomes small. The results rely on nonsmooth critical point theory based on the weak slope.
Keywords
Cite
@article{arxiv.1702.05321,
title = {Perturbation results involving the 1-Laplace operator},
author = {Samuel Littig and Fridemann Schuricht},
journal= {arXiv preprint arXiv:1702.05321},
year = {2017}
}