[A case of two-chambered right ventricle associated with severe pulmonary valve regurgitation].
A 40-year-old female was admitted to the hospital with the chief complaints of dyspnea on effort. Echocardiography and cardiac catheterization revealed an abnormal muscle bundle in the right ventricle which divided right ventricle into two chambers with the pressure gradient of 86 mmHg between them. And severe regurgitation associated with hypoplastic pulmonary valve and ventricular septal defect were noted. We removed the abnormal muscle bundle through the right atrial and ventricular approach, and pulmonary valve replacement and VSD closure were carried out. We report a case of two-chambered right ventricle with severe pulmonary valve regurgitation because of its rarity.
We study boundary regularity of maps from two-dimensional domains into manifolds which are critical with respect to a generic conformally invariant variational functional and which, at the boundary, enter perpendicularly into a support manifold. For example, harmonic maps, or $H$-surfaces, with a partially free boundary condition. In the interior it is known, by the celebrated work of Riviere, that these maps satisfy a system with an antisymmetric potential, from which one can derive regularity of the solution. We show that these maps satisfy along the boundary a system with a nonlocal antisymmetric boundary potential which contains information from the interior potential and the geometric Neumann boundary condition. We then proceed to show boundary regularity for solutions to such systems.