This issuePrevious ArticleSolutions of minimal period for a Hamiltonian system with a changing sign potentialNext ArticleUniqueness and existence of maximal and minimal solutions of fully nonlinear elliptic PDE
On the existence and asymptotic behavior of large solutions for a semilinear elliptic problem in $R^n$
In this paper, we give an existence result for
nonradial large solutions of the semilinear elliptic equation
$\Delta u =p(x)f(u)$ in $R^N (N\ge 3)$, where $f$ is assumed to
satisfy $(f_1)$ and $(f_2)$ below. The asymptotic behavior of the
large solutions at infinity are also studied in the sublinear case
that $f(u)$ behaves like $u^{\gamma}$ at $\infty$ for $\gamma
\in (0, 1)$.