Pucci–Serrin conjecture for radial solutions of polyharmonic equations
Let BBB be the unit ball of Rn\mathbb{R}^nRn, and let k∈Nk\in\mathbb{N}k∈N satisfy n>2k≥2n>2k\geq 2n>2k≥2. Consider λ∈R\lambda\in\mathbb{R}λ∈R and u∈C2k(B‾)u\in C^{2k}(\overline{B})u∈C2k(B) solving … where…