Local uniqueness for singularly perturbed periodic nonlinear traction problems

Abstract

We present a limiting property and a local uniqueness result for converging families of solutions of a singularly perturbed nonlinear traction problem in an unbounded periodic domain with small holes.

Keywords

• Nonlinear traction problem
• singularly perturbed domain
• linearized elastostatics
• local uniqueness
• integral representation
• elliptic system