Shapour Heidarkhani

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The existence of three distinct weak solutions for a perturbed mixed boundary value problem involving the one-dimensional p-Laplacian operator is established under suitable assumptions on the nonlinear term. Our approach is based on recent variational methods for smooth functionals defined on reflexive Banach spaces.
A critical points approach for the existence of multiple solutions of a Dirichlet quasilinear system, Optimal existence theorems for positive solutions of second order multi-point boundary value problems, Commun. Positive solutions for a semipositone fractional boundary value problem with a forcing term, Fract. Positive solutions of nonlinear fractional(More)
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−2 u) = 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.
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