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Weighted Sobolev embedding with unbounded and decaying radial potentials

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Su, Jiabao Wang, Zhi-Qiang Willem, Michel [UCL]

We prove embedding results of weighted W-1,W-p(R-N) spaces of radially symmetric functions. The results then are used to obtain ground and bound state solutions of quasilinear equations with unbounded or decaying radial potentials. (C) 2007 Elsevier Inc. All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2007
Language Anglais
Journal information "Journal of Differential Equations" - Vol. 238, no. 1, p. 201-219 (2007)
Peer reviewed yes
Publisher Academic Press Inc Elsevier Science (San Diego)
issn 0022-0396
e-issn 1090-2732
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Keywords p-laplacian ; unbounded or decaying potentials ; ground states
Links
Bibliographic reference Su, Jiabao ; Wang, Zhi-Qiang ; Willem, Michel. Weighted Sobolev embedding with unbounded and decaying radial potentials. In: Journal of Differential Equations, Vol. 238, no. 1, p. 201-219 (2007)
Permanent URL http://hdl.handle.net/2078.1/37452