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Multiple Axially Asymmetric Solutions to a Mean Field Equation on $\mathbb{S}^{2}$
We study the following mean field equationwhere ρ is a real parameter.We obtain the existence of multiple axially asymmetric solutions bifurcating from u = 0 at the values ρ = 4n(n + 1)π for any odd integer n ≥ 3.