## An asymptotic behavior of positive solutions for a new class of elliptic systems involving of $$( p( x) ,q( x) )$$-Laplacian systems.(English)Zbl 1419.35029

Summary: 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 $$( p( x) ,q( x) )$$-Laplacian systems using sub-super solutions method, with respect to the symmetry conditions. Our results are natural extensions from the previous recent ones in [D. E. Edmunds and J. Rákosník, Proc. R. Soc. Lond., Ser. A 437, No. 1899, 229–236 (1992; Zbl 0779.46027)].

### MSC:

 35J48 Higher-order elliptic systems 35J92 Quasilinear elliptic equations with $$p$$-Laplacian 35B09 Positive solutions to PDEs

### Keywords:

elliptic systems; $$p( x)$$-Laplacian; positive solutions

Zbl 0779.46027
Full Text:

### References:

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