On the Existence of Solutions for Abstract Nonlinear Operator Equations
Galewski, Marek
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 1089-1100 / Harvested from Biblioteca Digitale Italiana di Matematica
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We provide a duality theory and existence results for a operator equation ∇⁡T⁢(x)=∇⁡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 ∇⁡T⁢(x)=∇⁡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.

Publié le : 2007-10-01
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     author = {Marek Galewski},
     title = {On the Existence of Solutions for Abstract Nonlinear Operator Equations},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {10-A},
     year = {2007},
     pages = {1089-1100},
     zbl = {1236.47063},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_1089_0}
}

Galewski, Marek. On the Existence of Solutions for Abstract Nonlinear Operator Equations. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 1089-1100. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_1089_0/

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