A Tikhonov regularization for the inverse nodal problem for p-Laplacian

摘要

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 etal., 2011). [6].