Geodesic
Extremal solutions for nonlinear neumann problems
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 21 (2001) no. 2, pp. 191-206.

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In this paper, we study a nonlinear Neumann problem. Assuming the existence of an upper and a lower solution, we prove the existence of a least and a greatest solution between them. Our approach uses the theory of operators of monotone type together with truncation and penalization techniques.
Keywords: upper solution, lower solution, order interval, truncation function, penalty function, pseudomonotone operator, coercive operator, extremal solution 
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Fiacca, Antonella; Servadei, Raffaella. Extremal solutions for nonlinear neumann problems. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 21 (2001) no. 2, pp. 191-206. http://geodesic.mathdoc.fr/item/DMDICO_2001_21_2_a2/

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