@Article{JPDE-21-253, author = {Dong Ye and Feng Zhou }, title = {Existence and Nonexistence of Entire Large Solutions for Some Semilinear Elliptic Equations}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {3}, pages = {253--262}, abstract = { In this note, we consider positive entire large solutions for semilinear elliptic equations Δu = ρ(x)f(u) in R^N with N ≥ 3. More precisely, we are interested in the link between the existence of entire large solution with the behavior of solution for -Δu = ρ(x) in R^N. Especially for the radial case, we try to give a survey of all possible situations under Keller-Osserman type conditions.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5281.html} }