Universität zu Köln

Kawohl, Bernd and Kurta, Vasilii (2011). A LIOUVILLE COMPARISON PRINCIPLE FOR SOLUTIONS OF SINGULAR QUASILINEAR ELLIPTIC SECOND-ORDER PARTIAL DIFFERENTIAL INEQUALITIES. Commun. Pure Appl. Anal, 10 (6). S. 1747 - 1763. SPRINGFIELD: AMER INST MATHEMATICAL SCIENCES. ISSN 1534-0392

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Abstract

We compare entire weak solutions u and v of quasilinear partial differential inequalities on R-n without any assumptions on their behaviour at infinity and show among other things, that they must coincide if they are ordered, i.e. if they satisfy u >= v in R-n. For the particular case that v 0 we recover some known Liouville type results. Model cases for the equations involve the p-Laplacian operator for p is an element of [1, 2] and the mean curvature operator.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kawohl, Bernd UNSPECIFIED UNSPECIFIED UNSPECIFIED Kurta, Vasilii UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-486877
DOI:	10.3934/cpaa.2011.10.1747
Journal or Publication Title:	Commun. Pure Appl. Anal
Volume:	10
Number:	6
Page Range:	S. 1747 - 1763
Date:	2011
Publisher:	AMER INST MATHEMATICAL SCIENCES
Place of Publication:	SPRINGFIELD
ISSN:	1534-0392
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language POSITIVE SOLUTIONS; EQUATIONS; NONEXISTENCE; THEOREMS Multiple languages Mathematics, Applied; Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48687