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Positive radial solutions for systems with mean curvature operator in Minkowski space
Gurban, Daniela
Jebelean, Petru
2017
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e-ISSN
2464-8728
Abstract
We are concerned with a Dirichlet system, involving the mean curvature operator in Minkowski space
M(w) = div (∇w / 1−|∇w|2)
in a ball in RN. Using topological degree arguments, critical point theory and lower and upper solutions method, we obtain non existence, existence and multiplicity of radial, positive solutions. The examples we provide involve Lane-Emden type nonlinearities in both sublinear and superlinear cases.
Part of
49 (2017)
Publisher
EUT Edizioni Università di Trieste
Source
Daniela Gurban, Petru Jebelean, "Positive radial solutions for systems with mean curvature operator in Minkowski space", in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics", 49 (2017), Trieste, EUT Edizioni Università di Trieste, 2017, pp. 245-264
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
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