in this paper, a numerical method is developed for solving a linear sixth order boundaryvalue problem (6vbp ) by using the hyperbolic uniform spline of order 3 (lower order). thereis proved to be first-order convergent. numerical results confirm the order of convergencepredicted by the analysis.

In [3], we study p-mean curvature and associated p-minimal surfaces in the Heisenberg group from the viewpoint of PDE and differential geometry. In this paper, we look into the problem through the variational formulation. We study a generalized p-area and associated (p-) minimizers in general dimensions. We prove the existence and elaborate on the uniqueness of minimizers. Since this is reduced...

Considering the second boundary value problem of Lagrangian mean curvature equation, we obtain existence and uniqueness smooth uniformly convex solution, which generalizes Brendle–Warren’s theorem about minimal diffeomorphism in Euclidean metric space.