existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator
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abstract
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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Journal title:
international journal of nonlinear analysis and applicationsPublisher: semnan university
ISSN
volume 4
issue 2 2013
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