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

Academic Article
Publication Date:
2020
Short description:
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.
Iris type:
1.1 Articolo in rivista
Keywords:
Asymptotic analysis; Dirichlet problem; Entire solutions; Large solutions; Minimal solutions
List of contributors:
Authors of the University:
Handle:
https://iris.uniss.it/handle/11388/240784
Published in:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Journal