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On Higher-Order PDE Constrained Multiobjective Optimization Models
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DOI：10.3390/math14091454.png)
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Abstract
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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.
Keywords:
efficient solution
multiobjective variational problem
higher order Euler-Lagrange PDEs
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