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Title MINIMAX INEQUALITY FOR A SPECIAL CLASS OF FUNCTIONALS AND ITS APPLICATION TO EXISTENCE OF THREE SOLUTIONS FOR A DIRICHLET PROBLEM IN ONE-DIMENSIONAL CASE
Type JournalPaper
Keywords Minimax inequality; critical point; three solutions; multiplicity results; Dirichlet problem
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 ½ −(|u 0 | p−2u 0 ) 0 = 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.
Researchers Allah Bakhsh Yazdani Cherati (Fourth Researcher), Hassan Hosseinzadeh (Third Researcher), shapour heidarkhani (Second Researcher), Ghasem Alizadeh Afrouzi (First Researcher)