Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran. Email: afrouzi@umz.ac.ir
AMS Mathematics Subject Classification: 35J20, 34A15
In this paper, the existence of at least three weak solutions for Dirichlet problem where is the p-Laplacian operator, Ω ⊂ RN (N ≥ 1) is nonempty bounded open set with smooth boundary ∂Ω, p > N, λ > 0 and f: Ω × R → R is a Caratheodory function, is established.
Three solutions, Critical point, Multiplicity results, Dirichlet problem