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Infinitely many non-radial solutions for the polyharmonic Hénon equation with a critical exponent
Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2017)
  • Yuxia Guo, Tsinghua University
  • Bo Li
  • Yi Li
Abstract
We study the following polyharmonic Hénon equation:
where (m)* = 2N/(N – 2m) is the critical exponent, B 1(0) is the unit ball in ℝ N 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.
Keywords
  • polyharmonic Hénon equation,
  • critical exponent,
  • infinitely many non-radial solutions
Publication Date
Spring January 16, 2017
DOI
https://doi-org.libproxy.csun.edu/10.1017/S0308210516000196
Citation Information
Yuxia Guo, Bo Li and Yi Li. "Infinitely many non-radial solutions for the polyharmonic Hénon equation with a critical exponent" Proceedings of the Royal Society of Edinburgh Section A: Mathematics Vol. 147 Iss. 2 (2017) p. 371 - 396
Available at: http://works.bepress.com/yi_li/94/