In this paper, we study existence and properties of positive solutions for some elliptic systems like u∈W01,2(Ω):-div(B(x)∇u)+u=M(x)∇ψ·∇u+f(x),ψ∈W01,2(Ω):-div(M(x)∇ψ)=uθ,where Ω is a bounded open subset of RN, N>2, f(x)≥0 is a function in [email protected]@4b2e6a83(Ω), and 0<θ<1.
Sublinear Elliptic Systems with a Drift Term / Boccardo, Lucio; Orsina, Luigi. - (2025), pp. 23-39. - SPRINGER INDAM SERIES. [10.1007/978-981-96-6182-4_2].
Sublinear Elliptic Systems with a Drift Term
Boccardo, Lucio
;Orsina, Luigi
2025
Abstract
In this paper, we study existence and properties of positive solutions for some elliptic systems like u∈W01,2(Ω):-div(B(x)∇u)+u=M(x)∇ψ·∇u+f(x),ψ∈W01,2(Ω):-div(M(x)∇ψ)=uθ,where Ω is a bounded open subset of RN, N>2, f(x)≥0 is a function in [email protected]@4b2e6a83(Ω), and 0<θ<1.File allegati a questo prodotto
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