On the Mixed Neumann–Robin Problem for the Elasticity System in Exterior Domains
Hovik A. Matevossian · Russian Journal of Mathematical Physics · 2020
We study the properties of generalized solutions of the mixed Neumann–Robin problem for the linear system of elasticity theory in the exterior of a compact set and the asymptotic behavior of solutions of this problem at infinity under the assumption that the energy integral with weight | x | a is finite for such solutions. We use the variation principle and, depending on the value of the parameter a , we obtain uniqueness (nonuniqueness) theorems of the problem or present exact formulas for the dimension of the space of solutions.