Kamal Ould Bouh
In this article we study the nonlinear elliptic problem involving nearly critical exponent
where is a smooth bounded domain in with , and is a positive parameter. We show that, for small, there is no sign-changing solution with low energy which blow up at exactly two points. Moreover, we prove that this problem has no bubble-tower sign-changing solutions.
Submitted November 15, 2013. Published March 19, 2014.
Math Subject Classifications: 35J20, 35J60.
Key Words: Sign-changing solutions; critical exponent; bubble-tower solution.
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| Kamal Ould Bouh |
Department of Mathematics
Taibah University, P.O. Box: 30002
Almadinah Almunawwarah, Saudi Arabia
email: email@example.com, firstname.lastname@example.org
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