Alberto Enciso, Daniel Peralta-Salas and Stefan Steinerberger Prescribing the nodal set of the first eigenfunction in each conformal class 2015 http://arxiv.org/abs/1503.05105
Herbert Koch and Stefan Steinerberger Convolution Estimates for Singular Measures and Some Global Nonlinear Brascamp-Lieb Inequalities Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, 145(6): 1223-1237 2015 http://arxiv.org/abs/1404.4536
Abstract: We give an L2 x L2 → L2 convolution estimate for singular measures supported on transversal hypersurfaces in ℝn, which improves earlier results of Bejenaru et al. as well as Bejenaru and Herr. The quantities arising are relevant to the study of the validity of bilinear estimates for dispersive partial differential equations. We also prove a class of global, nonlinear Brascamp–Lieb inequalities with explicit constants in the same spirit.