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

A semilinear elliptic system with vanishing nonlinearities

Rafael Ortega 1, and  James R. Ward Jr 2,

1. 

Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada
2. 

Department of Mathematics, University of Alabama at Birmingham, Birmingham, AL 35294, United States

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.
Keywords: bounds, resonance., existence, Neumann problem, solutions.
Mathematics Subject Classification: Primary: 35J55, 35J60; Secondary: 47H1.
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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