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Hamiltonian elliptic systems in dimension two with arbitrary and double exponential growth conditions.
- Source :
- Discrete & Continuous Dynamical Systems: Series A; Jan2021, Vol. 41 Issue 1, p277-296, 20p
- Publication Year :
- 2021
-
Abstract
- In this paper we deal with the following class of Hamiltonian elliptic systems {−Δu = g(v) in Ω, −Δv = ƒ(u) in Ω, u = v = 0 on ∂Ω, where Ω ⊂ R<superscript>2</superscript> is a bounded domain and g is a nonlinearity with exponential growth condition. We derive the maximal growth conditions allowed for ƒ, proving that it can be of exponential type, double-exponential type, or completely arbitrary, depending on the conditions required for g. Under the hypothesis of arbitrary growth conditions or else when ƒ has a double exponential growth, we prove existence of nontrivial solutions for the system. [ABSTRACT FROM AUTHOR]
- Subjects :
- EXPONENTIAL functions
HAMILTONIAN graph theory
HAMILTONIAN systems
Subjects
Details
- Language :
- English
- ISSN :
- 10780947
- Volume :
- 41
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Discrete & Continuous Dynamical Systems: Series A
- Publication Type :
- Academic Journal
- Accession number :
- 147077933
- Full Text :
- https://doi.org/10.3934/dcds.2020138