# American Institute of Mathematical Sciences

2003, 2003(Special): 688-693. doi: 10.3934/proc.2003.2003.688

## A semilinear elliptic system with vanishing nonlinearities

Received  August 2002 Revised  February 2003 Published  April 2003

The Neumann boundary value problem is examined for systems of elliptic equations of the form $\Delta u + g(u) = f(x), x \in \omega.$ It is assumed that $g \in 2 C(\mathbb(R)^N,\mathbb(R)^N)$ is a bounded function which may vanish at infinity. Leray-Schauder degree methods are used.
Citation: Rafael Ortega, James R. Ward Jr. A semilinear elliptic system with vanishing nonlinearities. Conference Publications, 2003, 2003 (Special) : 688-693. doi: 10.3934/proc.2003.2003.688
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