A note on the number of nodal solutions of an elliptic equation with symmetry
نویسنده
چکیده
We consider the semilinear problem −∆u + λu = |u|p−2u in Ω, u = 0 on ∂Ω where Ω ⊂ R is a bounded smooth domain and 2 < p < 2∗ = 2N/(N − 2). We show that if Ω is invariant by a nontrivial orthogonal involution then, for λ > 0 sufficiently large, the equivariant topology of Ω is related with the number of solutions which change sign exactly once.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 19 شماره
صفحات -
تاریخ انتشار 2006