Advances in Differential Equations

Nonlinear eigenvalue problems arising in earthquake initiation

Ioan R. Ionescu and Vicenţiu Rădulescu

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Abstract

We study a symmetric, nonlinear eigenvalue problem arising in earthquake initiation, and we establish the existence of infinitely many solutions. Under the effect 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.

Article information

Source
Adv. Differential Equations Volume 8, Number 7 (2003), 769-786.

Dates
First available in Project Euclid: 19 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355926811

Mathematical Reviews number (MathSciNet)
MR1988678

Zentralblatt MATH identifier
1042.47042

Subjects
Primary: 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel m an) theory, etc.)
Secondary: 35J85 35P30: Nonlinear eigenvalue problems, nonlinear spectral theory 47J30: Variational methods [See also 58Exx] 86A17: Global dynamics, earthquake problems

Citation

Ionescu, Ioan R.; Rădulescu, Vicenţiu. Nonlinear eigenvalue problems arising in earthquake initiation. Adv. Differential Equations 8 (2003), no. 7, 769--786. https://projecteuclid.org/euclid.ade/1355926811.


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