Measuring the $L^p$ mass of an eigenfunction allows us to determine its concentration properties. On a manifold without boundary such estimates follow from short time properties of the wave or semiclassical Schr\"odinger propagators. However the presence of a boundary opens the possibility for multiple reflections even in short time. This will lead to greater concentration of the eigenfunction (displayed by higher $L^p$ norms). It is known, for example, that the whispering gallery modes show this higher concentration. In this talk I will discuss the whispering gallery modes from a semiclassical perspective and introduce a method for studying such eigenfunctions semiclassically on general manifolds.