A further note on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian

TL;DR

This paper extends existing results on inverse nodal and Ambarzumyan problems for the p-Laplacian to include periodic and anti-periodic boundary conditions, as well as L^1 potentials, broadening the scope of these inverse spectral problems.

Contribution

It generalizes previous findings by considering new boundary conditions and potential classes for the p-Laplacian inverse problems.

Findings

Extended inverse nodal problem results to periodic and anti-periodic boundary conditions.

Included L^1 potentials in the analysis of the p-Laplacian inverse problems.

Broadened the applicability of Ambarzumyan-type results for the p-Laplacian.

Abstract

In this note, we extend some results in a previous paper on the inverse nodal problem and Ambarzumyan problem for the p-Laplacian to periodic or anti-periodic boundary conditions, and to L^1 potentials.