A boundary blow-up elliptic problem with an inhomogeneous term

@inproceedings{Zhang2008ABB,
  title={A boundary blow-up elliptic problem with an inhomogeneous term},
  author={Zhi Jun Zhang},
  year={2008}
}
Abstract By a perturbation method and constructing comparison functions, we reveal how the inhomogeneous term h affects the exact asymptotic behaviour of solutions near the boundary to the problem △ u = b ( x ) g ( u ) + λ h ( x ) , u > 0 in Ω , u | ∂ Ω = ∞ , where Ω is a bounded domain with smooth boundary in R N , λ > 0 , g ∈ C 1 [ 0 , ∞ ) is increasing on [ 0 , ∞ ) , g ( 0 ) = 0 , g ′ is regularly varying at infinity with positive index ρ , the weight b , which is non-trivial and non… CONTINUE READING