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Bifurcation and symmetry breaking for the Henon equation

Bifurcation and symmetry breaking for the Henon equation

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 $\mathbb R^N$, $N\ge 3$, $p > 1$ …