Non-radial Solutions with Orthogonal Subgroup Invariance for Semilinear Dirichlet Problems
نویسندگان
چکیده
A semilinear elliptic equation, −∆u = λf(u), is studied in a ball with the Dirichlet boundary condition. For a closed subgroup G of the orthogonal group, it is proved that the number of non-radial G invariant solutions diverges to infinity as λ tends to ∞ if G is not transitive on the unit sphere.
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