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A global branch of positive solutions above the continuous spectrum for problems with indefinite nonlinearities
Published online by Cambridge University Press: 14 November 2011
Extract
We prove the existence and bifurcation of a global branch of positive solutions for a nonlinear Neumann eigenvalue problem on the half axis [0, ∞). The nonlinearity is assumed to have a superlinear growth multiplied by a weight function changing sign. This leads to the existence of nontrivial solutions above the continuous spectrum of the linearised problem.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 3 , 1996 , pp. 465 - 482
- Copyright
- Copyright © Royal Society of Edinburgh 1996
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