Report no. OxPDE-09/13 A uniqueness result for Δu – λu + V(|x|)u p = 0 on R 2 By
نویسنده
چکیده
Uniqueness of positive radial solutions decaying at infinity is proved for a class of semilinear elliptic equations on R. Complementary results for the same kind of equations were obtained in the early 90’s, on R with N ≥ 3, and in finite balls of R with N ≥ 2. The new result presented here plays a crucial role in the global bifurcation problem, previously studied by the author.
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تاریخ انتشار 2009