Geodesic
Saddle points of some integral functionals and solutions of elliptic systems
Minimax theory and its applications, Tome 8 (2023) no. 2
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We prove the existence of finite energy solutions u and ψ for two systems, one of which is { u∈W1,2 0 (Ω) : −div(a(x)∇u) = −div(ψE(x)), ψ ∈W1,p 0 (Ω) : −div(a(x)|∇ψ|p−2∇ψ)+E(x)·∇u = f(x), under some assumptions on p and on the vector field E(x)
Mots-clés : Integral functions, saddle points, nonlinear elliptic equations 
@article{MTA_2023_8_2_a3,
     author = {Lucio Boccardo and Pasquale Imparato and Luigi Orsina},
     title = {Saddle points of some integral functionals and solutions of elliptic systems},
     journal = {Minimax theory and its applications},
     year = {2023},
     volume = {8},
     number = {2},
     zbl = {1529.35186},
     url = {http://geodesic.mathdoc.fr/item/MTA_2023_8_2_a3/}
}
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Lucio Boccardo; Pasquale Imparato; Luigi Orsina. Saddle points of some integral functionals and solutions of elliptic systems. Minimax theory and its applications, Tome 8 (2023) no. 2. http://geodesic.mathdoc.fr/item/MTA_2023_8_2_a3/