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Existence results for parametric boundary value problems involving the mean curvature operator

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Bonanno, Gabriele Livrea, Roberto Mawhin, Jean [UCL]

In this note we propose a variational approach to a parametric differential problem where a prescribed mean curvature equation is considered. In particular, without asymptotic assumptions at zero and at infinity on the potential, we obtain an explicit positive interval of parameters for which the problem under examination has at least one nontrivial and nonnegative solution.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2014
Language Anglais
Journal information "No D E A - Nonlinear Differential Equations and Applications" - Vol. 22, no. 3, p. 411-426 (2014)
Peer reviewed yes
Publisher Birkhaeuser Verlag AG
e-issn 1420-9004
issn 1021-9722
Publication status Publié
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Links
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Bibliographic reference Bonanno, Gabriele ; Livrea, Roberto ; Mawhin, Jean. Existence results for parametric boundary value problems involving the mean curvature operator. In: No D E A - Nonlinear Differential Equations and Applications, Vol. 22, no. 3, p. 411-426 (2014)
Permanent URL http://hdl.handle.net/2078.1/163889