Shapour Heidarkhani, Massimiliano Ferrara, Giuseppe Caristi
We establish the existence of three distinct weak solutions for perturbed Kirchhoff-type non-homogeneous Neumann problems, under suitable assumptions on the nonlinear terms. Our approach is based on recent variational methods for smooth functionals defined on Orlicz-Sobolev spaces.
Submitted December 11, 2017. Published February 8, 2018.
Math Subject Classifications: 35J60, 35J70, 46N20, 58E05.
Key Words: Multiple solutions; perturbed non-homogeneous Neumann problem; Kirchhoff-type problem; weak solution; Orlicz-Sobolev space; variational method.
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| Shapour Heidarkhani |
Department of Mathematics
Faculty of Sciences, Razi University
67149 Kermanshah, Iran
| Massimiliano Ferrara |
Department of Law and Economics
University Mediterranea of Reggio Calabria
Via dei Bianchi, 2 - 89131 Reggio Calabria, Italy
| Giuseppe Caristi |
Department of Economics
University of Messina
via dei Verdi, 75, Messina, Italy
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