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Critical point approaches to Gradient-Type systems on the Sierpi\'{n}ski Gasket |
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| Authors: | Fangfang Liao Shapour Heidarkhani Ghasem A Afrouzi and Amjad Salari |
| Institution: | Department of Mathematics, Southeast University, Nanjing 210096, China,Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kerman- shah, Iran,Department of Mathematics, Faculty of Mathematical Sciences,, University of Mazandaran, Babolsar, Iran and Department of Mathematics, Faculty of Mathematical Sciences,, University of Mazandaran, Babolsar, Iran |
| Abstract: | We investigate the existence of multiple solutions for parametric quasi-linear systems of the gradient-type on the Sierpi\''{n}ski gasket. We give some new criteria to guarantee that the systems have at least three weak solutions by using a variational method and some critical points theorems due to Ricceri. We extend and improve some recent results. Finally, we give two examples to illustrate the main results. |
| Keywords: | Gradient-Type systems Sierpi\''{n}ski gasket Three solutions Nonlinear elliptic equation Variational methods Critical point theory |
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