%0 Journal Article %A Matthew D. Blair %A Christopher D. Sogge %T On Kakeya–Nikodym averages, $L^p$-norms and lower bounds for nodal sets of eigenfunctions in higher dimensions %J Journal of the European Mathematical Society %D 2015 %P 2513-2543 %V 17 %N 10 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4171/jems/564/ %R 10.4171/jems/564 %F JEMS_2015_17_10_a3