A note on the inequality \(\Delta u\geq k(x)e^ u\) in \({\mathbb{R}}^ n\) (Q1825369)
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scientific article; zbMATH DE number 4120646
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the inequality \(\Delta u\geq k(x)e^ u\) in \({\mathbb{R}}^ n\) |
scientific article; zbMATH DE number 4120646 |
Statements
A note on the inequality \(\Delta u\geq k(x)e^ u\) in \({\mathbb{R}}^ n\) (English)
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1988
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This note is concerned with the problem of nonexistence of entire solutions for the differential inequality \[ (1)\quad \Delta u\geq k(x)e^ u,\quad x\in {\mathbb{R}}^ n, \] where \(n\geq 2\), \(\Delta\) is the n- dimensional Laplacian and k(x) is a nonnegative continuous function in \({\mathbb{R}}^ n\).
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nonexistence
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entire solutions
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0.88374466
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0.8784667
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0.8718512
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0.8704191
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0.86581314
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