Saddle Points of some Integral Functionals and Solutions of Elliptic Systems
Keywords:
Integral functions, saddle points, nonlinear elliptic equations.Abstract
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)
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Published
2023-08-01
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How to Cite
Saddle Points of some Integral Functionals and Solutions of Elliptic Systems. (2023). Minimax Theory and Its Applications, 8(2), 319–332. https://journalmta.com/index.php/jmta/article/view/157
