Infinitely many non-radial solutions for the polyharmonic Hénon equation with a critical exponent
Published online by Cambridge University Press: 16 January 2017
Extract
We study the following polyharmonic Hénon equation:
where (m)* = 2N/(N – 2m) is the critical exponent, B1(0) is the unit ball in ℝN, N ⩾ 2m + 2 and K(|y|) is a bounded function. We prove the existence of infinitely many non-radial positive solutions, whose energy can be made arbitrarily large.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 2 , April 2017 , pp. 371 - 396
- Copyright
- Copyright © Royal Society of Edinburgh 2017
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