Monotone iterative method for semilinear elliptic systems of operator-differential equations (Q1905787)

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scientific article; zbMATH DE number 836168
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Monotone iterative method for semilinear elliptic systems of operator-differential equations
scientific article; zbMATH DE number 836168

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    Monotone iterative method for semilinear elliptic systems of operator-differential equations (English)
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    22 January 1996
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    This paper studies the existence of minimal and maximal solutions of boundary value problems for semilinear elliptic systems of operator-differential equations. The extremal solutions are obtained as limits of monotone sequences. A linear modification of the considered problem is given. The unique solutions of these modified problems are elements of sequences which are convergent in appropriate spaces.
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    minimal and maximal solutions
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