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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7494| Title: | Generalized principal eigenvalues on Rd of second order elliptic operators with rough nonlocal kernels |
| Authors: | Arapostathis, Ari BISWAS, ANUP ROYCHOWDHURY, PRASUN Dept. of Mathematics |
| Keywords: | Principal eigenvalue Nonlocal operators Maximum principle Simple eigenvalue Harnack inequality 2022-DEC-WEEK1 TOC-DEC-2022 2023 |
| Issue Date: | Jan-2023 |
| Publisher: | Springer Nature |
| Citation: | Nonlinear Differential Equations and Applications, 30, 10. |
| Abstract: | We study the generalized eigenvalue problem on the whole space for a class of integro-differential elliptic operators. The nonlocal operator is over a finite measure, but this has no particular structure. Some of our results even hold for singular kernels. The first part of the paper presents results concerning the existence of a principal eigenfunction. Then we present various necessary and/or sufficient conditions for the maximum principle to hold, and use these to characterize the simplicity of the principal eigenvalue. |
| URI: | https://doi.org/10.1007/s00030-022-00821-z http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7494 |
| ISSN: | 1021-9722 1420-9004 |
| Appears in Collections: | JOURNAL ARTICLES |
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