Radial Symmetry and Monotonicity Results for an Integral Equation

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dc.creatorMa, Li
dc.creatorChen, DeZhong
dc.date2004-10-12
dc.date.accessioned2026-07-07T05:13:12Z
dc.date.available2026-07-07T05:13:12Z
dc.descriptionIn this paper, we consider radial symmetry property of positive solutions of an integral equation arising from some higher order semi-linear elliptic equations on the whole space $\mathbf{R}^n$. We do not use the usual way to get symmetric result by using moving plane method. The nice thing in our argument is that we only need a Hardy-Littlewood-Sobolev type inequality. Our main result is Theorem 1 below.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0410287
dc.identifierhttp://arxiv.org/abs/math/0410287
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72859
dc.subjectAnalysis of PDEs
dc.subject35Q40, 35Q55
dc.titleRadial Symmetry and Monotonicity Results for an Integral Equation
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