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July/August 2014 Bifurcation and symmetry breaking for the Henon equation
Anna Lisa Amadori, Francesca Gladiali
Adv. Differential Equations 19(7/8): 755-782 (July/August 2014).

Abstract

In this paper, we consider the problem $$ \left\{ \begin{array}{ll} -\Delta u=|x|^{\alpha}u^p & \text{ in } B ,\\ u>0 & \hbox{ in } B ,\\ u=0 & \hbox{ on }\partial B , \end{array}\right. $$ where $ B $ is the unit ball of $\mathbb R^N$, $N\ge 3$, $p > 1$ and $0 < \alpha\leq 1$. We prove the existence of (at least) one branch of non-radial solutions that bifurcate from the radial ones and that this branch is unbounded.

Citation

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Anna Lisa Amadori. Francesca Gladiali. "Bifurcation and symmetry breaking for the Henon equation." Adv. Differential Equations 19 (7/8) 755 - 782, July/August 2014.

Information

Published: July/August 2014
First available in Project Euclid: 6 May 2014

zbMATH: 1320.35056
MathSciNet: MR3252901

Subjects:
Primary: 35B32, 35B40, 35J61

Rights: Copyright © 2014 Khayyam Publishing, Inc.

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Vol.19 • No. 7/8 • July/August 2014
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