  Let $\mathcal{A}(H)$ and $\mathcal{Q}(H)$ be the adjacency tensor and
signless Laplacian tensor of an $r$-uniform hypergraph $H$. Denote by $\rho(H)$
and $\rho(\mathcal{Q}(H))$ the spectral radii of $\mathcal{A}(H)$ and
$\mathcal{Q}(H)$, respectively. In this paper we present a lower bound on
$\rho(H)$ in terms of vertex degrees and we characterize the extremal
hypergraphs attaining the bound, which solves a problem posed by Nikiforov [V.
Nikiforov, Analytic methods for uniform hypergraphs, Linear Algebra Appl. 457
(2014) 455-535]. Also, we prove a lower bound on $\rho(\mathcal{Q}(H))$
concerning degrees and give a characterization of the extremal hypergraphs
attaining the bound.
