The existence of positive solutions for nonlinear problems with indefinite discontinuities (Q1012414)
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scientific article; zbMATH DE number 5545398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence of positive solutions for nonlinear problems with indefinite discontinuities |
scientific article; zbMATH DE number 5545398 |
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The existence of positive solutions for nonlinear problems with indefinite discontinuities (English)
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21 April 2009
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Consider the boundary value problem \[ -u''=\lambda m(x)f(u),\;0<x<1,\quad u(0)=u(1)=0,\tag{*} \] where \(\lambda\) is a positive parameter, \(m\) is piecewise continuous and changes sign. The author establishes the existence of positive solutions of (*) under suitable conditions on \(f\).
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