Positive solutions of singular semilinear elliptic problems in NTA-cones (Q1700672)
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scientific article; zbMATH DE number 6841729
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions of singular semilinear elliptic problems in NTA-cones |
scientific article; zbMATH DE number 6841729 |
Statements
Positive solutions of singular semilinear elliptic problems in NTA-cones (English)
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21 February 2018
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Summary: We study the existence, the uniqueness and the asymptotic behavior of positive solutions of the nonlinear equation \[ \Delta v+ f(.,v)=0, \] in an NTA-cone in \(\mathbb{R}^n(n\geq 3)\), when a positive Borel measurable function \(f(.,.)\) is continuous and non-increasing with respect to the second variable and satisfies a certain condition related to a Kato class.
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Laplace operator
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semilinear equation
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positive solutions
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