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
Full text not available from this repository.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: |
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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 | ||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/48687 |
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