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Publicly Available Published by De Gruyter March 10, 2016

Eigenvalue Problems for a Cooperative System with a Large Parameter

Daniel Daners

Abstract

We consider the principal eigenvalue of a cooperative system of elliptic boundary value problems as a parameter tends to infinity. The main aim is to introduce a new approach to deal with the limit problem by focusing on the resolvent operator corresponding to the system rather than the eigenvalue problem itself. This allows the consistent use of elementary properties of bilinear forms and the semi-groups they induce. At the same time we weaken assumptions in related work.

Published Online: 2016-03-10
Published in Print: 2013-02-01

© 2016 by Advanced Nonlinear Studies, Inc.

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