On multiple solutions for a singular quasilinear elliptic system involving critical Hardy-Sobolev exponents

• Autores: Olímpio H. Miyagaki, Rodrigo S. Rodrigues
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 4, 2008, págs. 1271-1293
• Idioma: inglés
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• Resumen

  • This paper is concerned with the existence of nontrivial solutions for a class of degenerate quasilinear elliptic systems involving critical Hardy-Sobolev type exponents. The lack of compactness is overcame by using the Brezis-Nirenberg approach, and the multiplicity result is obtained by combining a version of the Ekeland's variational principle due to Mizoguchi with the Ambrosetti-Rabinowitz mountain pass theorem