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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7087| Title: | Generalized principal eigenvalues of convex nonlinear elliptic operators in ℝN |
| Authors: | BISWAS, ANUP ROYCHOWDHURY, PRASUN Dept. of Mathematics |
| Keywords: | Fully nonlinear operators Principal eigenvalue Dirichlet problem Half-eigenvalues Uniqueness 2022 |
| Issue Date: | Oct-2022 |
| Publisher: | De Gruyter |
| Citation: | Advances in Calculus of Variations, 15(4). |
| 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. |
| URI: | https://doi.org/10.1515/acv-2020-0035 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7087 |
| ISSN: | 1864-8266 |
| Appears in Collections: | JOURNAL ARTICLES |
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