Semilinear systems involving multiple critical Hardy–Sobolev exponents and three singular points

In this paper, a semilinear system of elliptic equations is investigated, which involves multiple critical exponents and singular points. By variational methods and analytic techniques, the related best Hardy–Sobolev constants is studied and the existence of positive solutions is established.

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Veröffentlicht in:	Applied mathematics and computation 2011-12, Vol.218 (8), p.4514-4522
1. Verfasser:	Kang, Dongsheng
Format:	Artikel
Sprache:	eng
Schlagworte:	Calculus of variations and optimal control Computation Constants Critical exponent Exact sciences and technology Exponents Hardy inequality Mathematical analysis Mathematical models Mathematics Nonlinear algebraic and transcendental equations Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations Sciences and techniques of general use Semilinear elliptic system Solution Variational methods
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Beschreibung
Zusammenfassung:	In this paper, a semilinear system of elliptic equations is investigated, which involves multiple critical exponents and singular points. By variational methods and analytic techniques, the related best Hardy–Sobolev constants is studied and the existence of positive solutions is established.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2011.10.033