REGULARITY OF THE STRESS FIELD FOR DEGENERATE AND/OR SINGULAR ELLIPTIC PROBLEMS - Institut de Mathématiques de Toulouse Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

REGULARITY OF THE STRESS FIELD FOR DEGENERATE AND/OR SINGULAR ELLIPTIC PROBLEMS

Résumé

We investigate the regularity of the solutions of degenerate and/or singular elliptic equations. We prove the continuity of G(∇u) where u is a locally Lipschitz solution of div G(∇u) = λ ∈ R in dimension two under some growth assumptions on G. We also present a result true in any dimension stating that the distance between ∇u and the degeneracy set of G is continuous.
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Dates et versions

hal-04153354 , version 1 (06-07-2023)
hal-04153354 , version 2 (21-06-2024)

Identifiants

  • HAL Id : hal-04153354 , version 2

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Benjamin Lledos. REGULARITY OF THE STRESS FIELD FOR DEGENERATE AND/OR SINGULAR ELLIPTIC PROBLEMS. 2023. ⟨hal-04153354v2⟩
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