A topological degree approach to sublinear systems of second order differential equations

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October 2000, 6(4): 861-874. doi: 10.3934/dcds.2000.6.861

A topological degree approach to sublinear systems of second order differential equations

Anna Capietto ^1, and Walter Dambrosio ^1,

1.	Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy, Italy

Received November 1999 Revised April 2000 Published August 2000

Abstract
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In this paper we study the existence of radial solutions to sublinear systems of elliptic equations.
We first give a multiplicity result on solutions with prescribed nodal properties; then, we show the existence of positive solutions. The proofs are based on topological degree arguments.

Keywords: Sublinear problems, radial solutions, continuation theorem..

Mathematics Subject Classification: 34B15, 35J5.

Citation: Anna Capietto, Walter Dambrosio. A topological degree approach to sublinear systems of second order differential equations. Discrete & Continuous Dynamical Systems - A, 2000, 6 (4) : 861-874. doi: 10.3934/dcds.2000.6.861

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