地震起爆中的非线性特征值问题

GeologyRN: Computational Methods in Geology (Topic) Pub Date : 2003-01-01 DOI:10.57262/ade/1355926811

I. Ionescu, Vicentiu D. Rădulescu

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引用次数: 8

摘要

研究了地震起爆过程中出现的对称非线性特征值问题，并证明了该问题存在无穷多解。在任意扰动的作用下，我们证明了在给定拓扑上，当扰动趋于零时，解的数目会越来越大。我们的方法是基于De Giorgi和Degiovanni意义上的非光滑临界点理论。

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Nonlinear Eigenvalue Problems Arising in Earthquake Initiation

We study a symmetric, nonlinear eigenvalue problem arising in earthquake initiation, and we establish the existence of inflnitely many solutions. Under the efiect of an arbitrary perturbation, we prove that the number of solutions becomes greater and greater if the perturbation tends to zero with respect to a prescribed topology. Our approach is based on nonsmooth critical-point theories in the sense of De Giorgi and Degiovanni.

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GeologyRN: Computational Methods in Geology (Topic)

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