Smoothness properties of Newtonian potentials in the study of elastic plates

Abstract

The Hölder continuity and differentiability are investigated of Newtonian potentials arising in the theory of bending of elastic plates with transverse shear deformation. These properties play an essential role in the study by means of boundary integral equation techniques of boundary value problems for the equilibrium and harmonic oscillation states, and in the construction of associated boundary element methods.

Keywords:

• elastic plates
• boundary value problems
• boundary element methods