The exterior boundary value problems of Laplace equation and linear elastic equations are considered. A series of approximate infinite boundary conditions are given. Then the original problem is ...

The proof is complex and makes use of an excluded minor theorem of Robertson and Seymour, its extension to infinite graphs, Nash-Williams' theory of better-quasi-ordering, especially his infinite tree ...

These techniques entail the explicit evaluation of finite and infinite series whose terms are trigonometric functions, thereby linking classical analysis with combinatorial and number theoretic ...