Elliptic systems with boundary blow-up: existence, uniqueness and applications to removability of singularities
Elliptic systems with boundary blow-up: existence, uniqueness and applications to removability of singularities
In this paper we consider the elliptic system $\Delta u = u^p -v^q$, $\Delta v= -u^r +v^s$in $\Omega$, where the exponents verify $p,s>1$, $q,r>0$ and $ps>qr$, and $\Omega$ is a smooth boundeddomain of $R^N$. First, we show existence and uniqueness of boundaryblow-up solutions, that is, solutions $(u,v)$ verifying $u=v=+\infty$ on …