Uniqueness and maximal regularity for nonlinear elliptic systems of n-Laplace type with measure valued right hand side

Georg Dolzmann, Norbert Hungerbühler, and Stefan Müller

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Submission date: 28. Jul. 1998
Pages: 31
published in: Journal für die reine und angewandte Mathematik, 520 (2000), p. 1-35 
DOI number (of the published article): 10.1515/crll.2000.022, 29/03/2000
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Abstract:
We prove maximal regularity for vector valued solutions of nonlinear elliptic system of n-Laplace type

and we establish uniqueness of solutions under a few additional assumptions. In particular we prove that solutions of the system satisfy the following estimates

where the constants depend on , and the measure through its total variation. Our analysis includes unbounded domains.