Universität zu Köln

Littig, Samuel and Schuricht, Friedemann (2019). Perturbation results involving the 1-Laplace operator. Adv. Calc. Var., 12 (3). S. 277 - 303. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1864-8266

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Littig, Samuel UNSPECIFIED UNSPECIFIED UNSPECIFIED Schuricht, Friedemann UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-136628
DOI:	10.1515/acv-2017-0006
Journal or Publication Title:	Adv. Calc. Var.
Volume:	12
Number:	3
Page Range:	S. 277 - 303
Date:	2019
Publisher:	WALTER DE GRUYTER GMBH
Place of Publication:	BERLIN
ISSN:	1864-8266
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CRITICAL-POINT THEORY; P-LAPLACIAN; EIGENVALUES; EXISTENCE Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/13662