Non-even positive solutions of the Emden–Fowler equations with sign-changing weights
Published online by Cambridge University Press: 22 May 2013
Abstract
We study the Emden–Fowler equation whose coefficient function is even in the interval (—1, 1), negative near t = 0 and positive near t = ±1. Then we prove that a least energy solution is not even. Therefore, the equation has an even positive solution and a non-even positive solution.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 3 , June 2013 , pp. 631 - 642
- Copyright
- Copyright © Royal Society of Edinburgh 2013
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