existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator
نویسندگان
چکیده
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.
منابع مشابه
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:
international journal of nonlinear analysis and applicationsناشر: semnan university
ISSN
دوره 4
شماره 2 2013
کلمات کلیدی
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