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On Higher-Order PDE Constrained Multiobjective Optimization Models

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  • Savin Treanţă

    (Faculty of Applied Sciences, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania
    Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
    Fundamental Sciences Applied in Engineering—Research Center, National University of Science and Technology Politehnica Bucharest, 060042 Bucharest, Romania)

  • Omar Mutab Alsalami

    (Department of Electrical Engineering, College of Engineering, Taif University, Taif 21944, Saudi Arabia)

Abstract

In this paper, we formulate and prove necessary conditions of efficiency for a new class of multiobjective variational models governed by higher order partial derivatives. More precisely, we consider a multiobjective optimization model of minimizing a vector of multiple integral functionals subject to certain higher order differential equations and/or inequations. The main results are derived by applying suitable techniques coming from variational calculus. The current contribution lies in vector-valued functionals given by multiple integrals, constraint coupling, and the characterization of efficiency criteria.

Suggested Citation

  • Savin Treanţă & Omar Mutab Alsalami, 2026. "On Higher-Order PDE Constrained Multiobjective Optimization Models," Mathematics, MDPI, vol. 14(9), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:14:y:2026:i:9:p:1454-:d:1928809
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