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

Olímpio H. Miyagaki, Rodrigo S. Rodrigues

• 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