Positive solutions for Kirchhoff-type equations with critical exponent in [formula omitted].

In this paper, we study the following nonlinear Kirchhoff-type equation (0.1) { − ( a + b ∫ R N | ∇ u | 2 d x ) △ u = | u | 2 ⁎ − 2 u + μ h ( x ) , x ∈ R N u ∈ D 1 , 2 ( R N ) , where a ≥ 0 , b > 0 , N ≥ 3 , 2 ⁎ = 2 N N − 2 , μ ≥ 0 and h ∈ L 2 ⁎ 2 ⁎ − 1 ( R N ) \ { 0 } is nonnegative. By using the variational method, we obtain the existence of positive solutions for Eq. (0.1) , under some assumptions on a , b , μ . [ABSTRACT FROM AUTHOR]