This paper is concerned with weak solutions of elliptic equations and of systems of the form (Formula presented.) We show that, assuming some high degree of integrability of Du∗ the gradient of the boundary datum, we can obtain bounds of the difference |uγ-u∗γ|∞, γ∈1,⋯,m. In particular, when m=1, things are easier and we can get a better result.
On the difference between weak solution and boundary datum in some elliptic equations and systems
Leonetti, Francesco;
2026-01-01
Abstract
This paper is concerned with weak solutions of elliptic equations and of systems of the form (Formula presented.) We show that, assuming some high degree of integrability of Du∗ the gradient of the boundary datum, we can obtain bounds of the difference |uγ-u∗γ|∞, γ∈1,⋯,m. In particular, when m=1, things are easier and we can get a better result.File in questo prodotto:
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