Convexity argument for monotone potential operators and its application (Q1585023)

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scientific article; zbMATH DE number 1526185
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Convexity argument for monotone potential operators and its application
scientific article; zbMATH DE number 1526185

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    Convexity argument for monotone potential operators and its application (English)
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    2000
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    An abstract iterative procedure for monotone potential operators by using a functional inequality (called in the paper the convexity argument) is proposed. Then, as applications the convergence of the iteration scheme for: a) mixed boundary value problems for a nonlinear elliptic equation and b) Sturm-Liouville-type problems are established.
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    quasisolution
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    abstract iterative procedure
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    monotone potential operators
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    functional inequality
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    mixed boundary value problems
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    nonlinear elliptic equation
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    Sturm-Liouville-type problems
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