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Extremal solutions for nonlinear neumann problems

Antonella Fiacca, Raffaella Servadei (2001)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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.

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