Maximum principles for a coupled system of second and fourth order elliptic equations and an application (Q1763225)
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scientific article; zbMATH DE number 2136131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximum principles for a coupled system of second and fourth order elliptic equations and an application |
scientific article; zbMATH DE number 2136131 |
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Maximum principles for a coupled system of second and fourth order elliptic equations and an application (English)
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22 February 2005
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The author deals with maximum principle for the linear system which associates with the system \[ \Delta^2 y= f_1(x, y,z)\quad\text{in }\Omega, \qquad -\Delta z= f_2(x,y,z)\quad\text{in }\Omega, \qquad y=\Delta y= z= 0\quad\text{on } \partial\Omega, \] where \(\Omega\) is a bounded domain in \(\mathbb R^n\).
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Elliptic system
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Maximum principle
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Fixed point
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Positive solution
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