An asymptotic behavior of positive solutions for a new class of elliptic systems involving of $$\left( p\left( x\right) ,q\left( x\right) \right) $$ p x , q x -Laplacian systems

Abstract

The propose of this paper is to study of the existence and asymptotic behavior of positive solutions for a new class of elliptic systems involving of $$\left( p\left( x\right) ,q\left( x\right) \right) $$ -Laplacian systems using sub-super solutions method, with respect to the symmetry conditions. Our results are natural extensions from the previous recent ones in Edmunds and Rakosnk (Proc R Soc Lond Ser A 437:229–236, 1992).