A two point boundary value problem for a second order differential equation with quadratic growth in the derivative. (Q1413591)
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scientific article; zbMATH DE number 2004918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A two point boundary value problem for a second order differential equation with quadratic growth in the derivative. |
scientific article; zbMATH DE number 2004918 |
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A two point boundary value problem for a second order differential equation with quadratic growth in the derivative. (English)
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17 November 2003
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The author considers positive solutions to the two-point second-order nonlinear boundary value problem with quadratic growth in the first derivative \[ w''+h(s,w)+k(w)w^{\prime 2}=0,\quad w(\alpha)=w(\beta)=0,\quad w(s)>0,\;s\in(\alpha,\beta). \] Conditions are given guaranteeing that the problem has at most one positive solution. The results on ordinary differential equations are applied to radially symmetric solutions of elliptic equations.
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radially symmetric solutions
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positive solutions
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