We provide a higher differentiability result for the finite energy solutions u∈W1,1(Ω,RN) of a degenerate elliptic system of the form divA(x,Du)=0inΩ⊂Rn, where Ω is a bounded open set in Rn and A(x, ξ) is a degenerate elliptic operator. The function which measures the degree of degeneracy of the problem is assumed to belong to the Sobolev class W1,n(Ω)
Higher differentiability for n-harmonic systems with Sobolev coefficients
GIOVA, Raffaella
2015-01-01
Abstract
We provide a higher differentiability result for the finite energy solutions u∈W1,1(Ω,RN) of a degenerate elliptic system of the form divA(x,Du)=0inΩ⊂Rn, where Ω is a bounded open set in Rn and A(x, ξ) is a degenerate elliptic operator. The function which measures the degree of degeneracy of the problem is assumed to belong to the Sobolev class W1,n(Ω)File in questo prodotto:
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