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On periodic solutions for singular perturbation problems
Published online by Cambridge University Press: 14 November 2011
Synopsis
We apply a version of the Nash–Moser method to prove existence of periodic solutions for nonlinear elliptic equations and systems, involving singular perturbations. We allow nonlinearities depending on derivatives of order two more than that of the linear part, thus extending the previous results. Our result is new even in the case of one equation in one spatial dimension.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 120 , Issue 1-2 , 1992 , pp. 143 - 152
- Copyright
- Copyright © Royal Society of Edinburgh 1992