| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841929 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 15 Pages |
Abstract
In this paper, we present a new bootstrap procedure for elliptic systems with two unknown functions. When combined with the LpLp-LqLq-estimates, it yields the optimal L∞L∞-regularity conditions for the three well-known types of weak solutions: H01-solutions, L1L1-solutions and Lδ1-solutions. Thanks to the linear theory in Lδp(Ω), it also yields the optimal conditions for a priori estimates for Lδ1-solutions. Based on the a priori estimates, we improve known existence theorems for some classes of elliptic systems.
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Authors
Li Yuxiang,