Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations

This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate -functions, in the sense of Payne (see the book of Sperb [ ]). These maximum principles are then employed to obtain a Liouville-type result and a Serrin–Wein...

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Bibliographic Details
Published in:Advances in nonlinear analysis 2016-11, Vol.5 (4), p.395-405
Main Authors: Barbu, Luminita, Enache, Cristian
Format: Article
Language:English
Subjects:
35B50
35J25
35P15
70H25
anisotropic equations
Liouville theorems
Maximum principles
symmetry
Wulff shapes
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Summary:This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate -functions, in the sense of Payne (see the book of Sperb [ ]). These maximum principles are then employed to obtain a Liouville-type result and a Serrin–Weinberger-type symmetry result.
ISSN:2191-9496
2191-950X
DOI:10.1515/anona-2015-0127