Electronic Journal of Differential Equations,
Vol. 1996(1996), No. 08, pp. 1-22.
Title: Nonexistence of Positive Singular Solutions for
a Class of Semilinear Elliptic Systems
Author: Cecilia S. Yarur (Univ. de Santiago de Chile)
Abstract: We study nonexistence and removability results for nonnegative
sub-solutions to
$$\left. \eqalign{
\Delta u =& a(x) v^p \cr
\Delta v =& b(x) u^q \cr} \right\}
{\rm in } \Omega \subset \Bbb R^N,\quad N\ge 3\,,
$$
where $p\geq 1$, $q\geq 1$, $pq>1$, and $a$ and $b$ are nonnegative
functions. As a consequence of this work, we obtain new results for
biharmonic equations.
Submitted June 6, 1996. Published September 6, 1996.
Math Subject Class.: 35J20, 31A35.
Key Words: Elliptic systems; Removable singularity; Biharmonic equation.