A priori estimates for some semilinear elliptic equations of order 2m
β Scribed by Robert Dalmasso
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 717 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We present some new a priori estimates of the solutions to the second-order elliptic and parabolic interface problems. The novelty of these estimates lies in the explicit appearance of the discontinuous coefficients and the jumps of coefficients across the interface.
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
## Abstract In the investigation of the spectral theory of nonβselfadjoint elliptic boundary value problems involving an indefinite weight function, there arises the problem of obtaining __L^p^__ a priori estimates for solutions about points of discontinuity of the weight function. Here we deal wit