Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-05T10:46:49.607Z Has data issue: false hasContentIssue false

Infinitely many non-radial solutions for the polyharmonic Hénon equation with a critical exponent

Published online by Cambridge University Press:  16 January 2017

Yuxia Guo
Affiliation:
Department of Mathematics, Tsinghua University, Beijing 100084, People's Republic of China ([email protected])
Bo Li
Affiliation:
Department of Mathematics, Tsinghua University, Beijing 100084, People's Republic of China ([email protected])
Yi Li
Affiliation:
Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435, USA

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
Copyright
Copyright © Royal Society of Edinburgh 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)