Sobolev type embeddings and an inhomogeneous quasilinear elliptic equation on RNRN with singular weights

Sobolev type embeddings and an inhomogeneous quasilinear elliptic equation on RNRN with singular weights

In this paper we build a Sobolev type embedding from a weighted Sobolev space into a weighted L1L1 space on the entire space RNRN. As applications, we study the existence and the uniqueness of radial solutions of the inhomogeneous quasilinear elliptic equation

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Veröffentlicht in:Nonlinear analysis 2014-02, Vol.96, p.59-67
Hauptverfasser: Cai, Hongrui, Su, Jiabao, Sun, Yang
Format: Artikel
Sprache:eng
Schlagworte:
Construction
Mathematical analysis
Nonlinearity
Sobolev space
Uniqueness
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Beschreibung
Zusammenfassung:In this paper we build a Sobolev type embedding from a weighted Sobolev space into a weighted L1L1 space on the entire space RNRN. As applications, we study the existence and the uniqueness of radial solutions of the inhomogeneous quasilinear elliptic equation
ISSN:0362-546X
DOI:10.1016/j.na.2013.11.002