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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

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