On the singular elliptic systems involving multiple critical Sobolev exponents

In this paper, a singular elliptic system is investigated, which involves multiple critical Sobolev exponents and Hardy-type terms. By using variational methods and analytical techniques, the existence of positive and sign-changing solutions to the system is established.

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Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear analysis 2011-01, Vol.74 (2), p.400-412
Hauptverfasser:	Huang, Yan, Kang, Dongsheng
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Critical exponent Elliptic system Exact sciences and technology Exponents Hardy inequality Mathematical analysis Mathematics Nonlinearity Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Partial differential equations Sciences and techniques of general use Solution Variational method Variational methods
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Beschreibung
Zusammenfassung:	In this paper, a singular elliptic system is investigated, which involves multiple critical Sobolev exponents and Hardy-type terms. By using variational methods and analytical techniques, the existence of positive and sign-changing solutions to the system is established.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2010.08.051