In this paper we prove a partial Hölder regularity result for weak solutions u : Ω → RN, N ≥ 2, to non-autonomous elliptic systems with general growth of the type: -div a(x, u,Du) = b(x, u,Du) in Ω. The crucial point is that the operator a satisfies very weak regularity properties and a general growth, while the inhomogeneity b has a controllable growth.
Partial regularity result for non-autonomous elliptic systems with general growth
Isernia T.;
2021-01-01
Abstract
In this paper we prove a partial Hölder regularity result for weak solutions u : Ω → RN, N ≥ 2, to non-autonomous elliptic systems with general growth of the type: -div a(x, u,Du) = b(x, u,Du) in Ω. The crucial point is that the operator a satisfies very weak regularity properties and a general growth, while the inhomogeneity b has a controllable growth.File in questo prodotto:
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