Stationary solutions to a nonlocal fourth-order elliptic obstacle problem

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Laurençot, P.; Walker, C.: Stationary solutions to a nonlocal fourth-order elliptic obstacle problem. In: Journal of Elliptic and Parabolic Equations 6 (2020), Nr. 1, S. 171-186. DOI: https://doi.org/10.1007/s41808-020-00059-9

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Abstract: 
Existence of stationary solutions to a nonlocal fourth-order elliptic obstacle problem arising from the modelling of microelectromechanical systems with heterogeneous dielectric properties is shown. The underlying variational structure of the model is exploited to construct these solutions as minimizers of a suitably regularized energy, which allows us to weaken considerably the assumptions on the model used in a previous article.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2020
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 7 46.67%
2 image of flag of United States United States 5 33.33%
3 image of flag of Indonesia Indonesia 2 13.33%
4 image of flag of China China 1 6.67%

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