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Global Integrability Theorems for A-Harmonic Tensors

✍ Scribed by Craig A. Nolder

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
139 KB
Volume
247
Category
Article
ISSN
0022-247X

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✦ Synopsis

We extend global integrability theorems for the gradients of A-harmonic functions to the exterior derivative of differential forms satisfying rather general nonhomogeneous elliptic equations. These include the usual A-harmonic equations. Geometric conditions on the boundary of the domains of integration imply a corresponding exponent of integrability. In the process we generalize the weak reverse Holder inequality to such differential forms.

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