Existence of positive solutions for a class of elliptic problems with critical growth on

This paper is concerned with the existence of positive solutions to the class of p & q elliptic problems with critical growth type − div ( a ( | ∇ u | p ) | ∇ u | p − 2 ∇ u ) + b ( | u | p ) | u | p − 2 u = λ f ( u ) + | u | γ ⁎ − 2 u , u ( z ) > 0 , ∀ x ∈ R N , where λ is a positive parameter, a : R → R is a function of C 1 class and b , f : R → R are continuous functions.