Lishan Liu's research interests include nonlinear functional analysis and applications; nonlinear boundary value problems; nonlinear science and engineering problems; monotone iterative methods—theory and computations; differential equations and integral equations in Banach spaces; and approximation theory and fixed point theory iteration processes for constructing solutions for operator equations. Lishan Liu has also been published in 260 international papers in English since 1992. These international papers published can be found at Web of Knowledge.