Geodesic
On the Existence of Solutions for Abstract Nonlinear Operator Equations
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 1089-1100.

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We provide a duality theory and existence results for a operator equation $\nabla T(x) = \nabla N(x)$ where $T$ is not necessarily a monotone operator. We use the abstract version of the so called dual variational method. The solution is obtained as a limit of a minimizng sequence whose existence and convergence is proved.
Forniamo una teoria duale e risultati di esistenza per un'equazione operatore $\nabla T(x) = \nabla N(x)$ dove $T$ non è necessariamente un operatore monotono. Usiamo la versione astratta del cosiddetto metodo variazionale duale. La soluzione è ottenuta come un limite di una sequenza minimizzante la cui esistenza e convergenza è provata. 
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Galewski, Marek. On the Existence of Solutions for Abstract Nonlinear Operator Equations. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 3, pp. 1089-1100. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_3_a42/

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