These two papers have recently been published on-line in ZAMP:
Thank you for sharing this work. I would also like to add another two related papers on contact problems using Gurtin's surface elasticity theory.
Analytical solutions for a surface-loaded isotropic elastic layer with surface energy effects
Elastic Field Of A Nano-Film Subjected To Tangential Surface Load: Asymmetric Problem
The Hertz contact problem with surface elasticity has been solved in the chapter 4 of the following thesis: