On the Existence of Solutions for Nonlin
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Nikolaos S. Papageorgiou
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Article
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1997
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Elsevier Science
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English
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In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone nonlinearity. We assume the existence of an upper solution and a lower solution such that F . Using results from the theory of pseudomonotone operators and from the theory of multivalued analysis together with