On the existence of positive solutions for semilinear elliptic equations in the annulus (Q1327082)
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scientific article; zbMATH DE number 589979
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of positive solutions for semilinear elliptic equations in the annulus |
scientific article; zbMATH DE number 589979 |
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On the existence of positive solutions for semilinear elliptic equations in the annulus (English)
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15 June 1994
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The existence of positive radial solutions of \(\Delta u + g (| x |) f(u)=0\) in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions is proved. It is shown that the problem has positive radial solution on any annulus if \(f\) is sublinear at 0 and \(\infty\).
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semilinear elliptic
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equations in an annulus
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positive radial solutions
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0.9844904
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0.97583175
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0.9742208
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0.96437955
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0.9614415
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