On the semilinear elliptic equations \(\Delta u + {\beta\over{(1 + |x|)^{\mu}}} u^p - {\gamma\over {(1 + |x|)^{\nu}}} u^q = 0\) in \(\mathbb{R}^n\) (Q1973942)
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scientific article; zbMATH DE number 1441385
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the semilinear elliptic equations \(\Delta u + {\beta\over{(1 + |x|)^{\mu}}} u^p - {\gamma\over {(1 + |x|)^{\nu}}} u^q = 0\) in \(\mathbb{R}^n\) |
scientific article; zbMATH DE number 1441385 |
Statements
On the semilinear elliptic equations \(\Delta u + {\beta\over{(1 + |x|)^{\mu}}} u^p - {\gamma\over {(1 + |x|)^{\nu}}} u^q = 0\) in \(\mathbb{R}^n\) (English)
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28 August 2000
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The authors discuss uniqueness and properties of unbounded positive solutions of the equation \[ \Delta u + {\beta \over (1+|x|)^\mu} u^p - {\gamma \over (1+|x|)^\nu} u^q=0 \] in \(\mathbb{R}^n.\)
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elliptic equations
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uniqueness
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unbounded positive solutions
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