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.
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]
ASYMPTOTIC BEHAVIOR of MINIMAL SOLUTIONS of −∆u = λf(u) AS λ → −∞
Grossi M.
2020
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.File allegati a questo prodotto
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