@Article{JPDE-4-36,
author = {Pan Xiugbin},
title = {Solutions of Elliptic Equations ΔU+K(x)e<sup>2u</sup>=f(x)},
journal = {Journal of Partial Differential Equations},
year = {1991},
volume = {4},
number = {2},
pages = {36--44},
abstract = { In this paper we consider the elliptic equation Δu + K(x)e^{2u} = f(x), which arises from prescribed curvature problem in Riemannian geometry. It is proved that if K(x) is negative and continuous in R², then for any f ∈ L²_{loc} (R²) such that f(x) ≤ K(x), the equation possesses a positive solution. A uniqueness theorem is also given.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5766.html}
}