Variational approach to bifurcation from infinity for nonlinear elliptic problems
Published online by Cambridge University Press: 18 March 2013
Abstract
For any N ⩾ 1 and sufficiently small ε > 0, we find a positive solution of a nonlinear elliptic equation
when lim|x| → ∞V(x) = m > 0 and some optimal conditions on f are satisfied. Furthermore, we investigate the asymptotic behaviour of the solution as ε → 0.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 2 , April 2013 , pp. 269 - 301
- Copyright
- Copyright © Royal Society of Edinburgh 2013
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