Study of an elliptic equation with a singular potential (Q1865987)
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scientific article; zbMATH DE number 1890864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Study of an elliptic equation with a singular potential |
scientific article; zbMATH DE number 1890864 |
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Study of an elliptic equation with a singular potential (English)
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20 May 2003
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The paper deals with the semilinear equation \[ \Delta u+u-|u|^{-2\theta}u=0\quad \text{ in} {\mathbb R}^N \] where \(\theta\in (0,1/2).\) The author proves existence of a ground state and infinitely many radial solutions which are compactly supported. Their behaviour at infinity is also studied.
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semilinear elliptic equation
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singular potential
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Hölder inequality
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0.94352156
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0.92936563
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0.9219437
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0.9204522
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0.9197027
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0.91947544
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0.9175533
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0.9162351
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0.9152567
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0.91514546
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