For Ω R 2 a bounded open set with C 1 boundary, we study the regularity of the variational solution v ε W 1,2 0 (Ω) to the quasilinear elliptic equation of Leray-Lions -divA(x;δv) = f when f belongs to the Zygmund space L(log L) δ(Ω), 1/2 ≤ δ δ 1. We prove that |δv| belongs to the Lorentz space L 2,1/δ(Ω).
Planar quasilinear elliptic equations with right-hand side in L(log L) δ
Alberico A.;
2011
Abstract
For Ω R 2 a bounded open set with C 1 boundary, we study the regularity of the variational solution v ε W 1,2 0 (Ω) to the quasilinear elliptic equation of Leray-Lions -divA(x;δv) = f when f belongs to the Zygmund space L(log L) δ(Ω), 1/2 ≤ δ δ 1. We prove that |δv| belongs to the Lorentz space L 2,1/δ(Ω).File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
10.3934_dcds.2011.31.1053.pdf
solo utenti autorizzati
Tipologia:
Versione Editoriale (PDF)
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
415.49 kB
Formato
Adobe PDF
|
415.49 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
