Universität zu Köln

Lucia, Marcello and Sweers, Guido (2021). NONDEGENERACY OF SOLUTIONS FOR A CLASS OF COOPERATIVE SYSTEMS ON R-n. Commun. Pure Appl. Anal, 20 (12). S. 4177 - 4194. SPRINGFIELD: AMER INST MATHEMATICAL SCIENCES-AIMS. ISSN 1553-5258

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Abstract

We consider fully coupled cooperative systems on R-n with coefficients that decay exponentially at infinity. Expanding some results obtained previously on bounded domain, we prove that the existence of a strictly positive supersolution ensures the first eigenvalue to exist and to be nonzero. This result is applied to show that the topological solutions for a Chern-Simons model, described by a semilinear system on R-2 with exponential nonlinearity, are nondegenerate.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lucia, Marcello UNSPECIFIED UNSPECIFIED UNSPECIFIED Sweers, Guido UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-571791
DOI:	10.3934/cpaa.2021152
Journal or Publication Title:	Commun. Pure Appl. Anal
Volume:	20
Number:	12
Page Range:	S. 4177 - 4194
Date:	2021
Publisher:	AMER INST MATHEMATICAL SCIENCES-AIMS
Place of Publication:	SPRINGFIELD
ISSN:	1553-5258
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ELLIPTIC-SYSTEMS; PRINCIPAL EIGENVALUES; EXISTENCE; EQUATIONS; FIELDS Multiple languages Mathematics, Applied; Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/57179