Sharp estimates for the solutions to elliptic PDEs in L∞ in terms of the corresponding norm of the boundary data follow directly from the maximum principle. It holds on arbitrary domains for all (real) second order divergence form elliptic operators −divA∇. The wellposedness of boundary problems in L, p < ∞, is a far more intricate and challenging question, even in a half-space. In particular, ...

In this paper, we study the intersection problem of two surfaces in which at least one surface is given by its implicit equation Euclidean n-space. We first obtain curvatures transversal curve surfaces. Later, studied for a parametric and an n-dimensional space. Finally, present examples as applications methods.