The present paper is concerned with p-harmonic systems
where is a positive definite matrix whose entries have bounded mean oscillation (BMO), is a real number greater than 1 and is a given matrix field. We find a-priori estimates for a very weak solution of class , provided is close to , depending on the BMO norm of , and close to . This result is achieved using the corresponding existence and uniqueness result for linear systems with BMO coefficients [St], combined with nonlinear commutators.
Submitted November 27, 2000. Published January 2, 2001.
Math Subject Classifications: 35J60, 47B47.
Key Words: Bounded mean oscillation, Linear and Nonlinear Commutators, Hodge Decomposition.
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| Bianca Stroffolini |
Dipartimento di Matematica e Applicazioni "R. Caccioppoli"
via Cintia, 80126 Napoli, Italy
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