j. Vahidi - Iran University of Scinece and Tecnology ,behsher, Iran

In this paper, we establish an equivalent statement of minimax inequality for a special class of functionals. As an application, a result for the existence of three solutions to the Dirichlet problem       ( ) = ( ) = 0, ( ) = ( , ( )), ( , ), u a u b u x f x u x x a b where  > 0 and f :[a,b]RR is a continuous function, is emphasized

Minimax inequality; Critical point; Three solutions; Multiplicity results; Dirichlet problem