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Semilinear boundary value problems on a self-adjoint harmonic space with non-local boundary conditions - MaRDI portal

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Semilinear boundary value problems on a self-adjoint harmonic space with non-local boundary conditions (Q1081748)

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scientific article; zbMATH DE number 3971277
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English
Semilinear boundary value problems on a self-adjoint harmonic space with non-local boundary conditions
scientific article; zbMATH DE number 3971277

    Statements

    Semilinear boundary value problems on a self-adjoint harmonic space with non-local boundary conditions (English)
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    1986
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    The objective of this paper is to extend the existence theorems for semilinear boundary value problems with respect to an ideal boundary on a self-adjoint harmonic space obtained previously by the same author [Hiroshima Math. J. 14, 35-53 (1984; Zbl 0552.31008)] and by \textit{S. Zheng} [Chin. Ann. Math., Ser. B 4, 177-186 (1983; Zbl 0512.35037)]. The proof uses monotone-iteration method and the notion of ''boundary behaviour spaces''.
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    existence
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    semilinear boundary value problems
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    ideal boundary
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    self- adjoint harmonic space
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    monotone-iteration
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    boundary behaviour spaces
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