Universität zu Köln

Kawohl, Bernd ORCID: 0000-0003-2918-7318 and Schuricht, Friedemann (2015). FIRST EIGENFUNCTIONS OF THE 1-LAPLACIAN ARE VISCOSITY SOLUTIONS. Commun. Pure Appl. Anal, 14 (1). S. 329 - 340. SPRINGFIELD: AMER INST MATHEMATICAL SCIENCES-AIMS. ISSN 1553-5258

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Abstract

We address the question if eigenfunctions of the 1-Laplacian, which are obtained through a variational argument, are also viscosity solutions of the associated strongly degenerate formal Euler equation. The answer is positive, but examples show also that there are many more viscosity solutions than expected.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kawohl, Bernd UNSPECIFIED orcid.org/0000-0003-2918-7318 UNSPECIFIED Schuricht, Friedemann UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-417694
DOI:	10.3934/cpaa.2015.14.329
Journal or Publication Title:	Commun. Pure Appl. Anal
Volume:	14
Number:	1
Page Range:	S. 329 - 340
Date:	2015
Publisher:	AMER INST MATHEMATICAL SCIENCES-AIMS
Place of Publication:	SPRINGFIELD
ISSN:	1553-5258
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language EXISTENCE Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/41769