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Existence results of infinitely many solutions for a class of p(x)-biharmonic problems | ||
| Computational Methods for Differential Equations | ||
| مقاله 5، دوره 5، شماره 4، دی 2017، صفحه 310-323 اصل مقاله (391.08 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Saeid Shokooh* 1؛ Ghasem Alizadeh Afrouzi2 | ||
| 1Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad Kavous, Iran | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| چکیده | ||
| The existence of infinitely many weak solutions for a Navier doubly eigenvalue boundary value problem involving the $p(x)$-biharmonic operator is established. In our main result, under an appropriate oscillating behavior of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Furthermore, some applications are pointed out. | ||
| کلیدواژهها | ||
| Ricceri's Variational Principle؛ infinitely many solutions؛ Navier condition؛ $p(x)$-biharmonic type operators | ||
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