Abstract
In this article, we discuss the blow-up problem of entire solutions of a class of second-order quasilinear elliptic equation Δ p u ≡ div(|∇u| p−2∇u) = ρ(x)f(u), x ∈ R N . No monotonicity condition is assumed upon f(u). Our method used to get the existence of the solution is based on sub-and supersolutions techniques.
Acknowledgements
This work was partly supported by the Fundamental Research Fund for Physics and Mathematics of Lanzhou University. The authors are also grateful to the reviewer for comments and suggestions which contributed to improve this article.