Shapour Heidarkhani, Massimiliano Ferrara, Giuseppe Caristi
Abstract:
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 email: s.heidarkhani@razi.ac.ir |
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Massimiliano Ferrara Department of Law and Economics University Mediterranea of Reggio Calabria Via dei Bianchi, 2 - 89131 Reggio Calabria, Italy email: massimiliano.ferrara@unirc.it |
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Giuseppe Caristi Department of Economics University of Messina via dei Verdi, 75, Messina, Italy email: gcaristi@unime.it |
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