The second eigenvalue of the fractional p-Laplacian
نویسندگان
چکیده
منابع مشابه
Eigenvalue of Fractional Differential Equations with p-Laplacian Operator
Differential equations of fractional order have been recently proved to be valuable tools in the modeling of many phenomena arising from science and engineering, such as viscoelasticity, electrochemistry, control, porous media, and electromagnetism. For detail, see the monographs of Kilbas et al. [1],Miller and Ross [2], and Podlubny [3] and the papers [4–23] and the references therein. In [16]...
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Received 15 July 2009; Accepted 29 September 2009 Academic Editor: Norimichi Hirano Copyright q 2010 Enea Parini. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The asymptotic behaviour of the second eigenvalue of the p-Laplacian...
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Given a bounded domain Ω ⊂ R and numbers p > 1, α ≥ 0, A ∈ [0, |Ω|], consider the following optimization problem: find a subset D ⊂ Ω, of measure A, for which the first eigenvalue of the operator −∆p + αχD φp with the Dirichlet boundary condition is as small as possible. We prove the existence of optimal solutions and study their qualitative properties. We also obtain the radial symmetry of opt...
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ژورنال
عنوان ژورنال: Advances in Calculus of Variations
سال: 2016
ISSN: 1864-8266,1864-8258
DOI: 10.1515/acv-2015-0007