Generalized principal eigenvalues of convex nonlinear elliptic operators in ℝN

dc.contributor.author	BISWAS, ANUP	en_US
dc.contributor.author	ROYCHOWDHURY, PRASUN	en_US
dc.date.accessioned	2022-06-16T04:17:46Z
dc.date.available	2022-06-16T04:17:46Z
dc.date.issued	2022-10	en_US
dc.identifier.citation	Advances in Calculus of Variations, 15(4).	en_US
dc.identifier.issn	1864-8266	en_US
dc.identifier.uri	https://doi.org/10.1515/acv-2020-0035	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7087
dc.description.abstract	We study the generalized eigenvalue problem in R N for a general convex nonlinear elliptic operator which is locally elliptic and positively 1-homogeneous. Generalizing [H. Berestycki and L. Rossi, Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains, Comm. Pure Appl. Math. 68 2015, 6, 1014–1065], we consider three different notions of generalized eigenvalues and compare them. We also discuss the maximum principles and uniqueness of principal eigenfunctions.	en_US
dc.language.iso	en	en_US
dc.publisher	De Gruyter	en_US
dc.subject	Fully nonlinear operators	en_US
dc.subject	Principal eigenvalue	en_US
dc.subject	Dirichlet problem	en_US
dc.subject	Half-eigenvalues	en_US
dc.subject	Uniqueness	en_US
dc.subject	2022	en_US
dc.title	Generalized principal eigenvalues of convex nonlinear elliptic operators in ℝN	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Advances in Calculus of Variations	en_US
dc.publication.originofpublisher	Foreign	en_US