Generalized principal eigenvalues on Rd of second order elliptic operators with rough nonlocal kernels

ROYCHOWDHURY, PRASUN; Arapostathis, Ari; BISWAS, ANUP

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dc.contributor.author	Arapostathis, Ari	en_US
dc.contributor.author	BISWAS, ANUP	en_US
dc.contributor.author	ROYCHOWDHURY, PRASUN	en_US
dc.date.accessioned	2022-12-09T05:55:58Z
dc.date.available	2022-12-09T05:55:58Z
dc.date.issued	2023-01	en_US
dc.identifier.citation	Nonlinear Differential Equations and Applications, 30, 10.	en_US
dc.identifier.issn	1021-9722	en_US
dc.identifier.issn	1420-9004	en_US
dc.identifier.uri	https://doi.org/10.1007/s00030-022-00821-z	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7494
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Nature	en_US
dc.subject	Principal eigenvalue	en_US
dc.subject	Nonlocal operators	en_US
dc.subject	Maximum principle	en_US
dc.subject	Simple eigenvalue	en_US
dc.subject	Harnack inequality	en_US
dc.subject	2022-DEC-WEEK1	en_US
dc.subject	TOC-DEC-2022	en_US
dc.subject	2023	en_US
dc.title	Generalized principal eigenvalues on Rd of second order elliptic operators with rough nonlocal kernels	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Nonlinear Differential Equations and Applications	en_US
dc.publication.originofpublisher	Foreign	en_US