Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator

نویسندگان

  • M. B. Ghaemi Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
  • S. Mir Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
چکیده مقاله:

This paper is concerned with the study of the existence of positive solutions for a Navier boundaryvalue problem involving the p-biharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. The existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. Our resultsalso yield an estimate on the norms of the solutions indepent of the parameters.

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existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator

this paper is concerned with the study of the existence of positive solutions for a navier boundaryvalue problem involving the p-biharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. the existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. our resul...

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عنوان ژورنال

دوره 4  شماره 2

صفحات  68- 77

تاریخ انتشار 2013-06-01

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