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.
Ghaemi,M B and Mir,S . (2013). Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator. International Journal of Nonlinear Analysis and Applications, 4(2), 68-77. doi: 10.22075/ijnaa.2013.57
MLA
Ghaemi,M B , and Mir,S . "Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator", International Journal of Nonlinear Analysis and Applications, 4, 2, 2013, 68-77. doi: 10.22075/ijnaa.2013.57
HARVARD
Ghaemi M B, Mir S. (2013). 'Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator', International Journal of Nonlinear Analysis and Applications, 4(2), pp. 68-77. doi: 10.22075/ijnaa.2013.57
CHICAGO
M B Ghaemi and S Mir, "Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator," International Journal of Nonlinear Analysis and Applications, 4 2 (2013): 68-77, doi: 10.22075/ijnaa.2013.57
VANCOUVER
Ghaemi M B, Mir S. Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator. IJNAA. 2013;4(2):68-77. doi: 10.22075/ijnaa.2013.57
International Journal of Nonlinear Analysis and Applications