Article contents
The number of positive solutions of a non-linear problem with discontinuous non-linearity
Published online by Cambridge University Press: 14 November 2011
Synopsis
For the non-linear problem
where f is a discontinuous function at 1, we show that the number of non-trivial positive solutions, for a given real number λ≧0, is related to the graph of a continuous function g. Then, by studying the function g it is possible in some special cases to give, for any λ≧0, the minimal or exact number of non-trivial positive solutions.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 90 , Issue 3-4 , 1981 , pp. 281 - 291
- Copyright
- Copyright © Royal Society of Edinburgh 1981
References
- 5
- Cited by