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RADIAL SOLUTIONS FOR NEUMANN PROBLEMS WITH phi-LAPLACIANS AND PENDULUM-LIKE NONLINEARITIES

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Bereanu, Cristian Jebelean, Petru Mawhin, Jean [UCL]

In this paper we study the existence and multiplicity of radial solutions for Neumann problems in a ball and in an annular domain, associated to pendulum-like perturbations of mean curvature operators in Euclidean and Minkowski spaces and of the p-Laplacian operator. Our approach relies on the Leray-Schauder degree and the upper and lower solutions method.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2010
Language Anglais
Journal information "Discrete and Continuous Dynamical Systems" - Vol. 28, no. 2, p. 637-648 (2010)
Peer reviewed yes
Publisher Amer Inst Mathematical Sciences (Springfield)
issn 1078-0947
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Keywords mean curvature and p-Laplacian operators ; Neumann problem ; pendulum-like nonlinearities ; Leray-Schauder degree ; upper and lower solutions
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Bibliographic reference Bereanu, Cristian ; Jebelean, Petru ; Mawhin, Jean. RADIAL SOLUTIONS FOR NEUMANN PROBLEMS WITH phi-LAPLACIANS AND PENDULUM-LIKE NONLINEARITIES. In: Discrete and Continuous Dynamical Systems, Vol. 28, no. 2, p. 637-648 (2010)
Permanent URL http://hdl.handle.net/2078.1/33931