Title of article :
MINIMAX INEQUALITY FOR A SPECIAL CLASS OF FUNCTIONALS AND ITS APPLICATION TO EXISTENCE OF THREE SOLUTIONS FOR A DIRICHLET PROBLEM IN ONEDIMENSIONAL CASE
Author/Authors :
AFROUZI ، G. A. - University of Mazandaran , HEIDARKHANI ، S. - University of Mazandaran , HOSSIENZADEH ، H. - University of Mazandaran , YAZDANI ، A. - University of Mazandaran
Abstract :
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 {−(|u′|p−2u′)′=λf(x,u),u(a)=u(b)=0, where f:[a,b]×R→R is a continuous function, p 1 and λ 0, is emphasized.
Keywords :
Minimax inequality , critical point , three solutions , multiplicity results , dirichlet problem.
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
