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Regularity results for the gradient of solutions of linear elliptic systems with VMO-coefficients and L1,λ data
-
Salvatore Leonardi
Published/Copyright:
February 12, 2010
Abstract
We prove that if a vector-function ƒ belongs to the Morrey space 
, with 
, n ≥ 3, N ≥ 2, λ ∈ [0, n – 2], then there exists a very weak solution u of the system
such that Du belongs to the space 
for any 
, provided the matrix of coefficients (Aij) has L∞ ∩ VMO entries.
Received: 2007-10-02
Revised: 2008-07-07
Published Online: 2010-02-12
Published in Print: 2010-September
© de Gruyter 2010
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Articles in the same Issue
- Inhomogeneous Strichartz estimates
- Some characterizations of finite groups in which semipermutability is a transitive relation
- Fine gradings on the Lie algebra
- Harmonic analysis on a finite homogeneous space II: The Gelfand–Tsetlin decomposition
- Regularity results for the gradient of solutions of linear elliptic systems with VMO-coefficients and L1,λ data
- Amplitude inequalities for Differential Graded modules
- Homogeneous Lagrangian submanifolds of positive Euler characteristic
- Kostant convexity for affine buildings
- Algebraic monodromy and obstructions to formality
- Capacity and potentials on curves
- New characterizations of pseudo-coherent rings
- Le module de continuité des valeurs au bord des fonctions propres et des formes automorphes
