A Tikhonov regularization for the inverse nodal problem for -Laplacian

We apply the Tikhonov regularization method to reconstruct potentials of a p -Laplacian eigenvalue problem using only zeros of one eigenfunction, with explicit error bounds. This is an inverse problem on a class of nonlinear equations (when p ≠ 2 ). The study is motivated by our previous work on Sturm–Liouville operators (Chen et al., 2011) [6].