On Some Degenerate Elliptic Equations Arising in Geometric Problems
- 作者: Capuzzo Dolcetta I.1, Leoni F.1, Vitolo A.2
-
隶属关系:
- Dipartimento di Matematica, Sapienza Università di Roma
- Dipartimento di Matematica, Università di Salerno
- 期: 卷 233, 编号 4 (2018)
- 页面: 446-461
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241567
- DOI: https://doi.org/10.1007/s10958-018-3937-3
- ID: 241567
如何引用文章
详细
We consider some fully nonlinear degenerate elliptic operators and we investigate the validity of certain properties related to the maximum principle. In particular, we establish the equivalence between the sign propagation property and the strict positivity of a suitably defined generalized principal eigenvalue. Furthermore, we show that even in the degenerate case considered in the present paper, the well-known condition introduced by Keller–Osserman on the zero-order term is necessary and sufficient for the existence of entire weak subsolutions.
作者简介
I. Capuzzo Dolcetta
Dipartimento di Matematica, Sapienza Università di Roma
编辑信件的主要联系方式.
Email: capuzzo@mat.uniroma1.it
意大利, Roma
F. Leoni
Dipartimento di Matematica, Sapienza Università di Roma
Email: capuzzo@mat.uniroma1.it
意大利, Roma
A. Vitolo
Dipartimento di Matematica, Università di Salerno
Email: capuzzo@mat.uniroma1.it
意大利, Salerno