Lp estimates and asymptotic behavior for finite energy solutions of extremals to Hardy-Sobolev inequalities

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dc.creatorVassilev, Dimiter
dc.date2006-01-27
dc.date2006-06-11
dc.date.accessioned2026-07-07T06:59:22Z
dc.date.available2026-07-07T06:59:22Z
dc.descriptionMotivated by the equation satisfied by the extremals of certain Hardy-Sobolev type inequalities, we show sharp $L^q$ regularity for finite energy solutions of p-laplace equations involving critical exponents and possible singularity on a sub-space of $\mathbb{R}^n$, which imply asymptotic behavior of the solutions at infinity. In addition, we find the best constant and extremals in the case of the considered $L^2$ Hardy-Sobolev inequality.
dc.descriptionCorrected some typos and misprints and added a few comments and references to improve presentation. New version of Theorem 2.5 and an additional result on uniqueness/comparison principle for the considered p-laplacian equations
dc.identifierhttps://arxiv.org/abs/math/0601662
dc.identifierhttp://arxiv.org/abs/math/0601662
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107720
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35J65, 35B05
dc.titleLp estimates and asymptotic behavior for finite energy solutions of extremals to Hardy-Sobolev inequalities
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