Lie Groups of Partial Differential Equations and Their Application to the Multidimensional Screening Problems

Abstract

In this paper I describe group theoretic methods that can be used for analyzing the boundary problems, which arise when the Hamiltonian method is applied to solve the relaxed problem for the multidimensional screening problem. This technique can provide some useful insights into the structure of solutions and some times may help to arrive at particular solutionsLie group, multidimensional screening