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This paper is devoted to the study of the maximum number of limit cycles,$H(m,n)$, of a planar piecewise linear differential system with two zonesseparated by the curve $y^n-x^m=0$, with $n,m$ being positive integers. Moreprecisely, we provide a lower estimate of $ H(m,n)$. for all $m,n\in\mathbb{N}$, for piecewise linear perturbations of the linear center using somerecent results about Chebyshev systems with positive accuracy and MelnikovTheory

Melnikov analysis for planar piecewise linear vector fields with algebraic switching curve $y^n-x^m=0$