## Nonexistence of positive singular solutions for a class of semilinear elliptic systems

### Summary

Summary: 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 $p\geq 1, q\geq 1, pq$, and a and b are nonnegative functions. As a consequence of this work, we obtain new results for biharmonic equations.

35J60, 31A35

### Keywords/Phrases

elliptic systems, removable singularity, biharmonic equation