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ArticleOriginal scientific text

Title

Extremal solutions for nonlinear neumann problems

Authors 1, 1, 2

Affiliations

  1. University of Perugia, Department of Mathematics and Computer Science, via Vanvitelli 1, Perugia 06123 Italy
  2. University of Roma 2, Department of Mathematics, via della Ricerca Scientifica, Roma 00133 Italy

Abstract

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

ENG
upper solution, lower solution, order interval, truncation function, penalty function, pseudomonotone operator, coercive operator, extremal solution

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2001/21/2
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Pages:
191-206
Main language of publication
English
Received
2001-07-07
Published
2001

DOI: 10.7151/dmgt.1024

Exact and natural sciences