- Boundary value problems for elastic plates with transverse shear deformation: layer potential methods, existence, uniqueness, and integral representation of regular solutions.
- Direct and indirect integral equation methods for elliptic problems.
- Time-dependent problems: flexural vibrations of plates, wave propagation in elastic solids.
- Variational methods in elasticity: existence, uniqueness, and continuous dependence of distributional solutions on the data, weak solutions of boundary integral equations.