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Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces

Author(s): C. Bereanu; P. Jebelean; J. Mawhin
Journal: Proc. Amer. Math. Soc. 137 (2009), 161-169.
MSC (2000): Primary 35J65; Secondary 34B15
Posted: July 1, 2008
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Abstract: In this paper, using the Schauder fixed point theorem, we prove existence results of radial solutions for Dirichlet problems in the unit ball and in an annular domain, associated to mean curvature operators in Euclidean and Minkowski spaces.

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Additional Information:

C. Bereanu
Affiliation: Département de Mathématique, Université Catholique de Louvain, Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium
Email: cristian.bereanu@uclouvain.be

P. Jebelean
Affiliation: Department of Mathematics, West University of Timisoara, Blvd. V. Pârvan No. 4, RO-1900 Timisoara, Romania
Email: jebelean@math.uvt.ro

J. Mawhin
Affiliation: Département de Mathématique, Université Catholique de Louvain, Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium
Email: jean.mawhin@uclouvain.be

DOI: 10.1090/S0002-9939-08-09612-3
PII: S 0002-9939(08)09612-3
Keywords: Mean curvature operator, Minkowski space, radial solution, Schauder fixed point theorem
Received by editor(s): December 4, 2007
Posted: July 1, 2008
Communicated by: Carmen C. Chicone
Copyright of article: Copyright 2008, American Mathematical Society

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