Perturbation results involving the 1-Laplace operator-Reference-Cited by-同舟云学术

Perturbation results involving the 1-Laplace operator

Published:2019-07-01 Issue:3 Volume:12 Page:277-302
ISSN:1864-8266
Container-title:Advances in Calculus of Variations
language:
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Author:

Littig Samuel¹,Schuricht Friedemann²

Affiliation:

1. Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931Köln, Germany

2. Institut für Geometrie, Technische Universität Dresden, 01062Dresden, Germany

Abstract

AbstractWe 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.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/acv-2017-0006/pdf

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