On the quasilinear elliptic problem with a critical Hardy–Sobolev exponent and a Hardy term

In the present paper, a quasilinear elliptic problem with a critical Sobolev exponent and a Hardy-type term is considered. By means of a variational method, the existence of nontrivial solutions for the problem is obtained. The result depends crucially on the parameters p , t , s , λ and μ .

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Veröffentlicht in:	Nonlinear analysis 2008-10, Vol.69 (8), p.2432-2444
1. Verfasser:	Kang, Dongsheng
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Exact sciences and technology Hardy–Sobolev inequality Mathematical analysis Mathematics Nontrivial solution Partial differential equations Quasilinear problem Sciences and techniques of general use Variational method
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Beschreibung
Zusammenfassung:	In the present paper, a quasilinear elliptic problem with a critical Sobolev exponent and a Hardy-type term is considered. By means of a variational method, the existence of nontrivial solutions for the problem is obtained. The result depends crucially on the parameters p , t , s , λ and μ .
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2007.08.022