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Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 4، شماره 2، دی 2013، صفحه 68-77 اصل مقاله (385.58 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2013.57 | ||
| نویسندگان | ||
| M. B. Ghaemi* 1؛ S. Mir2 | ||
| 1Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran | ||
| 2Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran | ||
| تاریخ دریافت: 11 دی 1390، تاریخ بازنگری: 18 خرداد 1392، تاریخ پذیرش: 24 خرداد 1392 | ||
| چکیده | ||
| This paper is concerned with the study of the existence of positive solutions for a Navier boundary value problem involving the p-biharmonic operator; the right hand side of problem is a nonsmooth functional with variable parameters. The existence of at least three positive solutions is established by using nonsmooth version of a three critical points theorem for discontinuous functions. Our results also yield an estimate on the norms of the solutions indepent of the parameters. | ||
| کلیدواژهها | ||
| p-biharmonic؛ nonsmooth nonlinearity؛ Critical points | ||
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