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Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator
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نویسنده
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Ghaemi M.B. ,Mir S.
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منبع
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international journal of nonlinear analysis and applications - 2013 - دوره : 4 - شماره : 2 - صفحه:68 -77
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چکیده
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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.
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کلیدواژه
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p-biharmonic ,nonsmooth nonlinearity ,critical points.
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آدرس
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iran university of science and technology, Department of Mathematics, ایران, payame noor university, Faculty of Basic Sciences, Department of Mathematics, ایران
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پست الکترونیکی
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mir@phd.pnu.ac.ir
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Authors
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