Nonzero positive solutions of systems of elliptic boundary value problems
Open Access
- 4 April 2011
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 139 (12), 4343-4349
- https://doi.org/10.1090/s0002-9939-2011-10840-2
Abstract
A new result on existence of nonzero positive solutions of systems of second order elliptic boundary value problems is obtained under some sublinear conditions involving the principle eigenvalues of the corresponding linear systems. Results on eigenvalue problems of such elliptic systems are derived and generalize some previous results on the eigenvalue problems of systems of Laplacian elliptic equations. Applications of our results are given to two such systems with specific nonlinearities.Keywords
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