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Variational approaches to p-Laplacian discrete problems of Kirchhoff-type |
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| Authors: | Shapour Heidarkhani Ghasem A Afrouzi Johnny Henderson Shahin Moradi Giuseppe Caristi |
| Institution: | 1. Faculty of Sciences, Department of Mathematics, Razi University, Kermanshah, Iran.s.heidarkhani@razi.ac.ir;3. Faculty of Mathematical Sciences, Department of Mathematics, University of Mazandaran, Babolsar, Iran.;4. Department of Mathematics, Baylor University, Waco, TX, USA.;5. Department of Economics, University of Messina, Messina, Italy. |
| Abstract: | Critical point results for Kirchhoff-type discrete boundary value problems are exploited in order to prove that a suitable class possesses at least one solution under an asymptotical behaviour of the potential of the nonlinear term at zero, and also possesses infinitely many solutions under some hypotheses on the behaviour of the potential of the nonlinear term at infinity. Some recent results are extended and improved. Some examples are presented to demonstrate the applications of our main results. |
| Keywords: | Nonlinear difference equations discrete boundary value problem Kirchhoff-type problem one solution infinitely many solutions variational methods critical point theory |