Let A(x) = {aij(x)}i,j=1,⋯,n be a uniformly elliptic matrix with L∞(Ω) coefficients, Ω be an open bounded set in ℝn. We study the connection between Cordes Condition: exists E ∈ (0,1) such that A figure is presented. a.e. in Ω, and Condition A of Campanato: there exist three real constants α, γ, δ with α > 0, γ > 0, δ ≥ 0, γ + δ < 1, such that A figure is presented. A figure is presented
On Cordes and Campanato Conditions
TARSIA, ANTONIO
2004-01-01
Abstract
Let A(x) = {aij(x)}i,j=1,⋯,n be a uniformly elliptic matrix with L∞(Ω) coefficients, Ω be an open bounded set in ℝn. We study the connection between Cordes Condition: exists E ∈ (0,1) such that A figure is presented. a.e. in Ω, and Condition A of Campanato: there exist three real constants α, γ, δ with α > 0, γ > 0, δ ≥ 0, γ + δ < 1, such that A figure is presented. A figure is presentedFile in questo prodotto:
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