TY - JOUR
T1 - Existence and Nonexistence of Entire Large Solutions for Some Semilinear Elliptic Equations
JO - Journal of Partial Differential Equations
VL - 3
SP - 253
EP - 262
PY - 2008
DA - 2008/08
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5281.html
KW - Entire large solution
KW - existence criteria
AB -  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.