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Multiple existence of solutions for a singularly perturbed nonlinear elliptic problem on a Riemannian manifold
Published online by Cambridge University Press: 30 January 2012
Abstract
Let (M, g) be a compact smooth N-dimensional Riemannian manifold without boundary. We consider the multiple existence of positive solutions of the problem
where Δg stands for the Laplacian in M and f ε C2(M).
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 1 , February 2012 , pp. 81 - 114
- Copyright
- Copyright © Royal Society of Edinburgh 2012