caa a22 4500 606194037 CHVBK 20210128100912.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s00030-014-0289-7 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0289-7 Existence results for parametric boundary value problems involving the mean curvature operator [Elektronische Daten] [Gabriele Bonanno, Roberto Livrea, Jean Mawhin] 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. Springer Basel, 2014 Bonanno Gabriele Department of Civil, Computer, Construction, Environmental Engineering and Applied Mathematics, University of Messina, 98166, Messina, Italy aut Livrea Roberto Department MECMAT, University of Reggio Calabria, 89100, Reggio Calabria, Italy aut Mawhin Jean Université Catholique de Louvain, IRMP, chemin du cyclotron, 2, 1348, Louvain-la-Neuve, Belgium aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/3(2015-06-01), 411-426 1021-9722 22:3<411 2015 22 30 https://doi.org/10.1007/s00030-014-0289-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0289-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bonanno Gabriele Department of Civil, Computer, Construction, Environmental Engineering and Applied Mathematics, University of Messina, 98166, Messina, Italy aut NATIONALLICENCE 700 1- Livrea Roberto Department MECMAT, University of Reggio Calabria, 89100, Reggio Calabria, Italy aut NATIONALLICENCE 700 1- Mawhin Jean Université Catholique de Louvain, IRMP, chemin du cyclotron, 2, 1348, Louvain-la-Neuve, Belgium aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/3(2015-06-01), 411-426 1021-9722 22:3<411 2015 22 30