Existence of solutions for an elliptic boundary value problem via a global minimization theorem on hilbert spaces
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2016-01-01Author
Ayadi, Souad
Moussaoui, Toufik
'Regan, Donal
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Ayadi, Souad; Moussaoui, Toufik; 'Regan, Donal (2016). Existence of solutions for an elliptic boundary value problem via a global minimization theorem on hilbert spaces. Differential Equations & Applications 8 (3), 385-391
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Abstract
We present a new global minimization theorem on Hilbert spaces which is different from the one in Hofer [7] using the notion of a nonexpansive potential operator. An example is given to illustrate our result.