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A variational inequality formulation of the environmental pollution control problem

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Abstract

In this paper we develop the time-dependent pollution control problem in which different countries aim to determine the optimal investment allocation in environmental projects and the tolerable pollutant emissions, so as to maximize their welfare. We provide the equilibrium conditions governing the model and derive the evolutionary variational inequality formulation. The existence of solutions is investigated and a numerical example is also presented.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125, Catania, Italy

    Laura Scrimali

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  1. Laura Scrimali
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Correspondence to Laura Scrimali.

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Scrimali, L. A variational inequality formulation of the environmental pollution control problem. Optim Lett 4, 259–274 (2010). https://doi.org/10.1007/s11590-009-0165-2

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  • DOI: https://doi.org/10.1007/s11590-009-0165-2

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