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Zbl 1161.35521
Hong, Shihuang; Chen, Ji
Multiplicity of positive radial solutions for an elliptic inclusion system on an annulus. (English)
[J] J. Comput. Appl. Math. 221, No. 1, 66-75 (2008). ISSN 0377-0427

Summary: We present the sufficient conditions for existence and multiplicity of positive radial solutions for elliptic inclusion systems. Our results are obtained by utilizing the generalization of Leggett and Williams's fixed point theorem, established in this paper, for the norm-type cone expansion and compression of multivalued operators.
MSC 2000:
*35R70 PDE with multivalued right-hand sides
46N20 Appl. of functional analysis to differential and integral equations

Keywords: multivalued operator; cone expansion; compression fixed point theorem; elliptic differential inclusion system

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