Article ID Journal Published Year Pages File Type
6417061 Journal of Differential Equations 2016 11 Pages PDF
Abstract

We consider the polyharmonic equation (−Δ)mu=eu in RN with m≥3 and N>2m. We prove the existence of many entire stable solutions. This answers some questions raised by Farina and Ferrero in [7].

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Related Topics
Physical Sciences and Engineering Mathematics Analysis
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Existence of stable solutions to (−Δ)mu=eu in RN with m ≥ 3 and N > 2m
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