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Diophantine approximation, Bessel functions and radially symmetric periodic solutions of semilinear wave equations in a ball
The aim of this paper is to consider the radially-symmetric periodic-Dirichlet problem on $[0,T] \times B^n[a]$ for the equation \[ u_{tt} - \Delta u = f(t,|x|,u),\] where $\Delta$ is the classical Laplacian operator, and $B^n[a]$ denotes the open ball of center $0$ and radius $a$ in ${\mathbb R}^n.$ When $\alpha …