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Quasimonotone versus pseudomonotone

Published online by Cambridge University Press:  14 November 2011

Rüdiger Landes
Rüdiger Landes
Affiliation:
Department of Mathematics, University of Oklahoma, Norman, OK 73019, U.S.A.
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Abstract

Under some natural hypotheses, we show that if the (Nemitsky-) operator associated with an elliptic system is pseudomonotone, then the system has to be quasimonotone. Conversely, if the system satisfies a strict quasimonotonicity condition, then an existence proof of K.-W. Zhang contains the arguments to verify the pseudomonotonicity of the operator. We present a simplified proof of this fact under more general assumptions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 4 , 1996 , pp. 705 - 717
Copyright
Copyright © Royal Society of Edinburgh 1996

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