“…In order to overcome this obstacle, we follow the method from [2] by searching for spaces with some symmetry. Multiple two-dimensional solutions of mean field equation on flat tori bifurcating from trivial solution can be seen in [10].…”
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.
“…In order to overcome this obstacle, we follow the method from [2] by searching for spaces with some symmetry. Multiple two-dimensional solutions of mean field equation on flat tori bifurcating from trivial solution can be seen in [10].…”
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.
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