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Multiple positive solutions for a nonlinear Dirichlet problem with non-convex vector-valued response

Published online by Cambridge University Press:  12 July 2007

Andrzej Nowakowski
Affiliation:
Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland (annowako@math.uni.lodz.pl)
Andrzej Rogowski
Affiliation:
Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland (arogow@math.uni.lodz.pl)

Abstract

In this paper we establish the existence of many positive solutions to with Vx a vector-valued nonlinearity.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2005

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