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Boundary value problems in elastostatics with singular data
Lithuanian Mathematical Journal ( IF 0.4 ) Pub Date : 2020-07-01 , DOI: 10.1007/s10986-020-09489-3
Giulio Starita , Alfonsina Tartaglione

We consider themain boundary value problems of linear elastostatics with nonregular data. We prove existence and uniqueness results for bounded and exterior domains of ℝ3 of class Ck (k ⩾ 2). In the case of isotropic body, we prove the results for domains of class C1,α (α ∈ (0, 1]) and of class C1 in the case of the displacement problem.

中文翻译:

具有奇异数据的弹性静力学边界值问题

我们考虑具有非常规数据的线性弹性静力学的主要边值问题。我们证明了类 Ck (k ⩾ 2) 的 ℝ3 的有界域和外部域的存在性和唯一性结果。在各向同性体的情况下,我们证明了在位移问题的情况下 C1,α (α ∈ (0, 1]) 类和 C1 类域的结果。
更新日期:2020-07-01
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