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arXiv · 1502.07955

A nonradial bifurcation result with applications to supercritical problems

Anna Lisa Amadori·Francesca Gladiali
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Abstract

In this paper we consider the problem $-\Delta u=|x|^{\alpha} F(u)$ in $R^N$, with $\alpha>0$ and $N\ge3$. Under some assumptions on $F$ we deduce the existence of nonradial solutions which bifurcate from the radial one when $\alpha$ is an even integer.

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Anna Lisa Amadori, Francesca Gladiali. 2015-02-27. A nonradial bifurcation result with applications to supercritical problems. https://doi.org/10.1016/j.jmaa.2016.03.034

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