Multiplicity of Radial Solutions of Quasilinear Problems with Minimum and Maximum

We show the existence and multiplicity of radial solutions for the problems with minimum and maximum involving mean curvature operators in the Minkowski space: where , , are constants satisfying and ; denotes the Euclidean norm in , and is an unbounded operator. By using the Leray–Schauder degree th...

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Bibliographic Details
Published in:Advanced nonlinear studies 2016-05, Vol.16 (2), p.273-286
Main Authors: Ma, Ruyun, Liu, Ruikuan
Format: Article
Language:English
Subjects:
34B18
35J66
Borsuk Theorem
Leray–Schauder Degree
Mean Curvature Operators
Minkowski Space
Multiplicity
Radial Solutions
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Summary:We show the existence and multiplicity of radial solutions for the problems with minimum and maximum involving mean curvature operators in the Minkowski space: where , , are constants satisfying and ; denotes the Euclidean norm in , and is an unbounded operator. By using the Leray–Schauder degree theory and the Borsuk theorem, we prove that the problem has at least two different radial solutions.
ISSN:1536-1365
2169-0375
DOI:10.1515/ans-2015-5037