Journal of Convex Analysis 21 (2014), No. 1, 053--066
Copyright Heldermann Verlag 2014
Constant Sign and Sign-Changing Solutions for Quasilinear Elliptic Equations with Neumann Boundary Condition
Giuseppina Barletta
MECMAT, Università di Reggio Calabria, Via Graziella, Località Feo di Vito, 89100 Reggio Calabria, Italy
giuseppina.barletta@unirc.it
Pasquale Candito
MECMAT, Università di Reggio Calabria, Via Graziella, Località Feo di Vito, 89100 Reggio Calabria, Italy
pasquale.candito@unirc.it
Dumitru Motreanu
Dép. de Mathématiques, Université de Perpignan, Avenue Paul Alduy 52, 66860 Perpignan, France
motreanu@univ-perp.fr
Through variational methods, sub-supersolution and truncation techniques we prove the existence of three nontrivial solutions for a quasilinear elliptic equation with Neumann boundary condition. We provide sign information for each of these solutions: two of them are of opposite constant sign and the third one is sign changing.
Keywords: Quasilinear elliptic equations; sub-supersolution; critical point; Neumann problem; constant sign solutions; sign-changing solutions.
MSC: 35J62, 49J45
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