An elliptic system with logarithmic nonlinearity

Abstract

In the present paper, we study the existence of solutions for some classes of singular systems involving the Δp⁢(x){\Delta_{p(x)}} and Δq⁢(x){\Delta_{q(x)}} Laplacian operators. The approach is based on bifurcation theory and the sub-supersolution method for systems of quasilinear equations involving singular terms.

Keywords

• bifurcation
• singular system
• sub-supersolution
• 35j75
• 35j48
• 35j92