A short remark regarding Pohozaev-type results on general domains assuming finite Morse index
Published online by Cambridge University Press: 16 January 2017
Extract
We are interested in non-negative non-trivial solutions of
where 1 < p and Ω is a bounded smooth domain in ℝN with 3 ⩽ N ⩽ 9. We show that given a non-negative integer M there is some large p(M,Ω) such that the only non-negative solution u, of Morse index at most M, is u = 0.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 2 , April 2017 , pp. 293 - 297
- Copyright
- Copyright © Royal Society of Edinburgh 2017
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