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- W2007809770 abstract "This paper presents an existence and enclosure result for solutions of semilinear elliptic systems in case that the nonlinearities do not possess any monotonicity properties. Moreover, it is shown that even in this case one is able to establish a monotone iterative scheme for constructing the solution, provided that a certain matrix, which is related to the spectrum of an associated linear differential operator, is positive definite. In dieser Arbeit wird ein Existenz- und Einschließungssatz für semilineare elliptische Systeme bewiesen, wobei die Nichtlinearitäten keinerlei Monotonieeigenschaften zu besitzen brauchen. Darüber hinaus wird gezeigt, daß man sogar in diesem Fall ein monotones Iterationsschema zur Konstruktion der Lösung angeben kann, wenn man die positive Definitheit einer mit dem Spektrum eines linearen Differentialoperators in Zusammenhang stehenden Matrix voraussetzt." @default.
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- W2007809770 title "An Enclosing Theorem and a Monotone Iterative Scheme for Elliptic Systems Having Nonmonotone Nonlinearities" @default.
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- W2007809770 doi "https://doi.org/10.1002/zamm.19900700806" @default.
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