A semilinear elliptic system with vanishing nonlinearities

Rafael Ortega; James R. Ward Jr

doi:10.3934/proc.2003.2003.688

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2003, Volume 2003: 688-693. Doi: 10.3934/proc.2003.2003.688 open access

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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

Received: August 2002

Revised: February 2003

Published: April 2003

Abstract / Introduction Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: Primary: 35J55, 35J60; Secondary: 47H11.

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