@Article{JPDE-32-52,
author = {Lair , Alan V.},
title = {Entire Large Solutions to Semilinear Elliptic Systems of Competitive Type},
journal = {Journal of Partial Differential Equations},
year = {2019},
volume = {32},
number = {1},
pages = {52--65},
abstract = {<p>We consider the elliptic system $\Delta u = p(|x|)u^av^b$, $\Delta v = q(|x|)u^cv^d$ on ${\bf R}^n$ ($n \geq 3$) where $a$, $b$, $c$, $d$ are nonnegative constants with $\max\{a,d\} \leq 1$, and the functions $p$ and $q$ are nonnegative, continuous, and the support of $\min\{p(r),q(r)\}$ is not compact.&nbsp; We establish conditions on $p$ and $q$, along with the exponents $a$, $b$, $c$, $d$, which ensure the existence of a positive entire solution satisfying $\lim_{|x|\rightarrow \infty}u(x) = \lim_{|x| \rightarrow \infty}v(x) = \infty$.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v32.n1.4},
url = {http://global-sci.org/intro/article_detail/jpde/13122.html}
}