Some maximum principles for solutions of a class of partial differential equations in \(\Omega\subset\mathbb{R}^n\) (Q5926134)
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scientific article; zbMATH DE number 1570648
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some maximum principles for solutions of a class of partial differential equations in \(\Omega\subset\mathbb{R}^n\) |
scientific article; zbMATH DE number 1570648 |
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Some maximum principles for solutions of a class of partial differential equations in \(\Omega\subset\mathbb{R}^n\) (English)
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28 February 2001
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Summary: We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms (1) \(\Delta^2u+\alpha f(u)= 0\), \(\alpha\in \mathbb{R}^+\) and (2) \(\Delta\Delta u+\alpha(\Delta u)^k+ gu= 0\), \(\alpha\leq 0\) in some region \(\Omega\subset\mathbb{R}^n\).
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maximum principles
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semilinear elliptic equations
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