Asymptotic behaviors of least-energy solutions to Matukuma type equations with an inverse square potential (Q1409327)
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scientific article; zbMATH DE number 1991033
| Language | Label | Description | Also known as |
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| English | Asymptotic behaviors of least-energy solutions to Matukuma type equations with an inverse square potential |
scientific article; zbMATH DE number 1991033 |
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Asymptotic behaviors of least-energy solutions to Matukuma type equations with an inverse square potential (English)
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13 October 2003
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Behavior of least-energy solutions to Matukuma type equations \[ \Delta u +K(x) u^{1+\varepsilon}=0\quad \text{in}\;\mathbb R^n \] as \(\varepsilon\to 0\) with an inverse square potential are discussed. The difference of the behavior of solutions are obtained. The author also considers the behavior of scaled solutions and obtains a limiting function.
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semilinear elliptic equations
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least-energy solutions, Hardy inequality
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asymptotic behavior
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