Browsing by Author "Heidarkhani, Shapour"

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    Article
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    Energy Estimates and Existence Results for a Quasilinear Periodic Boundary Value Problem
    (Springer Basel Ag, 2024) Ferrara, Massimiliano; Heidarkhani, Shapour; Moradi, Shahin; Caristi, Giuseppe
    This paper focuses on the existence of solutions and energy estimates for a specific type of periodic boundary value problem. By precisely determining the parameter's localization, we demonstrate the existence of non-zero solutions and infer the presence of multiple solutions for positive parameter values. This analysis necessitates the sublinearity of the nonlinear component at both the origin and infinity. Lastly, we present a multiplicity result along with an example. The proof relies on a local minimum theorem for differentiable functionals.
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    Review
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    One solution for Steklov problems involving nonstandard growth conditions of Kirchhoff type
    (Taylor & Francis Ltd, 2024) Ferrara, Massimiliano; Heidarkhani, Shapour; Moradi, Shahin
    We explore the presence of at least one weak solution for a nonlocal problem of the $ p(x) $ p(x)-Kirchhoff type, featuring Steklov boundary values within variable exponent Sobolev spaces arising in the nonlinear elasticity theory and the theory of electrorheological fluids. Our methodology relies on variational techniques. Additionally, we provide an illustrative example to showcase the practical application of our principal findings.