On solutions of \(\Delta\geq P(r)f(u)\). (Q701422)
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scientific article; zbMATH DE number 1820061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solutions of \(\Delta\geq P(r)f(u)\). |
scientific article; zbMATH DE number 1820061 |
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On solutions of \(\Delta\geq P(r)f(u)\). (English)
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2002
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The paper deals with the inequality \(\Delta u\geq P(r)f(u)\). The authors derive rotationally symmetric solutions for some nonlinear equation \(\Delta u=P(r)f(u)\) in terms of elementary functions. Under suitable assumptions, the authors prove the nonexistence of entire solutions for the inequality \(\Delta u>P(r)f(u)\) and they also obtain some radial upper bounds. These results are the consequence of an appropriate differential inequality.
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rotationally symmetric solutions
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nonexistence of entire solutions
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radial upper bounds
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