Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\) (Q983893)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\) |
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Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\) (English)
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13 July 2010
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Summary: Several Liouville-type theorems are presented for stable solutions of the equation \(-\Delta u = f(u)\) in \(\mathbb R^N\), where \(f > 0\) is a general convex, nondecreasing function. Extensions to solutions which are merely stable outside a compact set are discussed.
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