Estimates for elliptic systems from composite material
β Scribed by YanYan Li; Louis Nirenberg
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 332 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
A solution of system Eu = 0 in IR is a vector u E HI(Q), such that (a'(Du) 1 D,cp
In this paper, we present a new bootstrap procedure for elliptic systems with two unknown functions. When combined with the L p -L q -estimates, it yields the optimal L β -regularity conditions for the three well-known types of weak solutions: H 1 0 -solutions, L 1 -solutions and L 1 Ξ΄ -solutions. T
Recently [ 6 ] an existence as well as a uniqueness theorem for the discontinuous oblique derivative problem for nonlinear elliptic system of first order in the plane, see [12, 19, 231 wa.s proved, based on some a priori estimate from [ZO]. This estjmate, however, i Y deduced by reductio ad absurdum