On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics (Q1075505)
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scientific article; zbMATH DE number 3951101
| Language | Label | Description | Also known as |
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| English | On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics |
scientific article; zbMATH DE number 3951101 |
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On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics (English)
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1985
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The authors consider the equation \[ (1)\quad \Delta u+Ku^{(n+2)/(n- 2)}=0,\quad u>0,\quad n\geq 3 \] in \(R^ n\). When \(K\geq 0\) the situation is more complicated. This paper is to study equation (1) in the case where K is bounded, nonnegative but not necessarily decaying at \(\infty\). For the radial case, they obtain existence and nonexistence results.
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