Electron. J. Diff. Eqns., Vol. 1996(1996), No. 08, pp. 1-22.

Nonexistence of Positive Singular Solutions for a Class of Semilinear Elliptic Systems

Cecilia S. Yarur

Abstract:
We study nonexistence and removability results for nonnegative sub-solutions to
$$\left. \eqalign{ \Delta u =& a(x) v^p \cr \Delta v =& b(x) u^q \cr} \right\} {\rm in } \Omega \subset R^N,\quad N\ge 3\,, $$
where $p\geq 1$, $q\geq 1$, $pq$ greater than 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.

Show me the DVI, PDF, PS, and TeX files for this article.

Ceclia S. Yarur
Departamento de Matematicas, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile.
E-mail: cyarur@usach.cl
Return to the EJDE home page.