Lower and upper solutions to semilinear boundary value problems: an abstract approach (Q652927)
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scientific article; zbMATH DE number 5995410
| Language | Label | Description | Also known as |
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| English | Lower and upper solutions to semilinear boundary value problems: an abstract approach |
scientific article; zbMATH DE number 5995410 |
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Lower and upper solutions to semilinear boundary value problems: an abstract approach (English)
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5 January 2012
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This paper concerns semilinear second-order parabolic and elliptic PDEs in non-divergence form with mixed boundary conditions and time-periodicity in the parabolic case. An abstract setting of the strong maximum principle, lower and upper solutions and corresponding existence results are presented. Especially, the lower and upper solutions are allowed to be not well-ordered.
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not well-ordered lower and upper solutions
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non-divergence form
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time-periodicity
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mixed boundary conditions
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