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On the Mixed Neumann–Robin Problem for the Elasticity System in Exterior Domains
Russian Journal of Mathematical Physics ( IF 1.4 ) Pub Date : 2020-05-31 , DOI: 10.1134/s1061920820020144
H. A. Matevossian

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.

中文翻译:

外域弹性系统的混合Neumann-Robin问题

我们研究了紧集外部的弹性理论线性系统的混合Neumann-Robin问题的广义解的性质以及该问题在无限大的条件下的渐近性,其条件是能量与重量为整数| x | 对于这样的解决方案,a是有限的。我们使用变分原理,并根据参数a的值,获得问题的唯一性(非唯一性)定理或给出解空间维数的精确公式。
更新日期:2020-05-31
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