Existence and multiplicity of positive solutions for a class of n×n elliptic systems

In this paper, we prove the existence and multiplicity of positive weak solution to the : × : system of the form Δ Δ # $ $ !# ⋮ ⋮ Δ & ' ' !& $ ⋯ ' 0 where Δ*+ ,-./|1+|*2$1 in 34 with smooth boundary 56 1 for - 1,2,⋯, :. Our approach is based on the method of sub and supersolutions

کلیدواژه ها:

Positive weak solution 5 ، 5$ ، ⋯ ، 5' ، -Laplacian ، Sub- and super solutions