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Contemporary Mathematics. Fundamental Directions, 2015, Volume 58, Pages 96–110
(Mi cmfd281)
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This article is cited in 1 scientific paper (total in 1 paper)
On some degenerate elliptic equations arising in geometric problems
I. Capuzzo Dolcettaa, F. Leonia, A. Vitolob a Dipartimento di Matematica, Sapienza Università di Roma, Ilaly
b Dipartimento di Matematica, Università di Salerno, Italy
Abstract:
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.
Citation:
I. Capuzzo Dolcetta, F. Leoni, A. Vitolo, “On some degenerate elliptic equations arising in geometric problems”, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 1, CMFD, 58, PFUR, M., 2015, 96–110; Journal of Mathematical Sciences, 233:4 (2018), 446–461
Linking options:
https://www.mathnet.ru/eng/cmfd281 https://www.mathnet.ru/eng/cmfd/v58/p96
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Abstract page: | 240 | Full-text PDF : | 226 | References: | 42 |
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