ASYMPTOTIC BEHAVIOR of MINIMAL SOLUTIONS of −∆u = λf(u) AS λ → −∞

Articolo
Data di Pubblicazione:
2020
Citazione:
ASYMPTOTIC BEHAVIOR of MINIMAL SOLUTIONS of −∆u = λf(u) AS λ → −∞ / Battaglia, L., Gladiali, F., Grossi, M.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 41:2(2020), pp. 681-700. [10.3934/dcds.2020293]
Abstract:
We consider the following Dirichlet problem(formula persented) and f non-negative and non-decreasing. We show existence and uniqueness of solutions uλ for any λ and discuss their asymptotic behavior as λ → −∞. In the expansion of uλ large solutions naturally appear.
Tipologia CRIS:
1.1 Articolo in rivista
Keywords:
Asymptotic analysis; Dirichlet problem; Entire solutions; Large solutions; Minimal solutions
Elenco autori:
Autori di Ateneo:
Link alla scheda completa:
https://iris.uniss.it/handle/11388/240784
Pubblicato in:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Journal