  In this paper, we design and analyze a Hybrid-High Order (HHO) approximation
for a class of quasilinear elliptic problems of nonmonotone type. The proposed
method has several advantages, for instance, it supports arbitrary order of
approximation and general polytopal meshes. The key ingredients involve local
reconstruction and high-order stabilization terms. Existence and uniqueness of
the discrete solution are shown by Brouwer's fixed point theorem and
contraction result. A priori error estimate is shown in discrete energy norm
that shows optimal order convergence rate. Numerical experiments are performed
to substantiate the theoretical results.
