ABSTRACT
In this paper, we consider the following Hénon type problem
where
,
,
,
,
,
,
is the unit ball of
centered at the origin. We show that if
is small enough and λ goes to 0 at suitable rate, the above problem has radial bubble tower solutions, which behave like a superposition of bubbles and blow up at the origin.
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Acknowledgements
The author is very grateful to the referee for a number of valuable comments and suggestions, which improve the paper greatly.
Disclosure statement
No potential conflict of interest was reported by the authors.