Solvability of some nonlinear elliptic problems (Q1821258)
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scientific article; zbMATH DE number 3998332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solvability of some nonlinear elliptic problems |
scientific article; zbMATH DE number 3998332 |
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Solvability of some nonlinear elliptic problems (English)
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1985
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The author investigates the solvability condition for the following nonlinear Dirichlet boundary value problems: \[ \Delta u=f(x,u)\quad in\quad \Omega;\quad u=\phi (x)\quad on\quad \partial \Omega \] by means of the upper and lower solutions. In particular she gives also the conditions for nonexistence of the real solutions of this boundary value problem.
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solvability
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nonlinear Dirichlet boundary value problems
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upper and lower solutions
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nonexistence
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