On the sixth-order Joseph-Lundgren exponent (Q517426)
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scientific article; zbMATH DE number 6696874
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sixth-order Joseph-Lundgren exponent |
scientific article; zbMATH DE number 6696874 |
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On the sixth-order Joseph-Lundgren exponent (English)
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23 March 2017
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The paper is concerned with the study of solutions to \[ -\Delta^2 u=|u|^{p-1}u\quad\text{in}\quad{\mathbb R}^n,\quad n\geq 2, \quad p>1. \] Some Liouville type theorems for stable (or stable outside of a compact set) solutions are obtained. The approach relies on various integral estimates and monotonicity formulae. The corresponding sixth-order Joseph-Lundgreen exponent is also derived.
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trinomial Lane-Emden equation
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Liouville theorems
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stable solutions
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