INFINITELY MANY SOLUTIONS FOR A CLASS OF P-BIHARMONIC PROBLEMS WITH NEUMANN BOUNDARY CONDITIONS

Document Type : Research Articles

Authors

1 Department of Mathematics, Payame Noor University, Tehran, Iran., P.O.Box 19395-3697

2 Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

3 Department of Mathematics, Faculty of Mathematics Sci- ences, University of Mazandaran, Babolsar, Iran

Abstract

The existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result.

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