Multiple Solutions for a Henon-Like Equation on the Annulus

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dc.creatorCalanchi, Marta
dc.creatorSecchi, Simone
dc.creatorTerraneo, Elide
dc.date2007-05-10
dc.date2008-06-10
dc.date.accessioned2026-07-07T09:43:09Z
dc.date.available2026-07-07T09:43:09Z
dc.descriptionFor the equation (-Δu = | |x|-2 |^αu^{p-1}), (1 < |x| < 3), we prove the existence of two solutions for (α) large, and of two additional solutions when (p) is close to the critical Sobolev exponent (2^*=2N/(N-2)). A symmetry--breaking phenomenon appears, showing that the least--energy solutions cannot be radial functions.
dc.descriptionFinal version, accepted by Journal of Differential Equations
dc.identifierhttps://arxiv.org/abs/0705.1492
dc.identifierhttp://arxiv.org/abs/0705.1492
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162451
dc.subjectAnalysis of PDEs
dc.subject35J40
dc.titleMultiple Solutions for a Henon-Like Equation on the Annulus
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