Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms

Abstract

Using variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.

Keywords

• Quasilinear elliptic system
• variational method
• critical exponent
• Hardy term
• multiple solutions