A priori estimates for the vectorp-Laplacian with potential boundary conditions
✍ Scribed by George Dincǎ; Petru Jebelean
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 171 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 ∞ -regularity conditions for the three well-known types of weak solutions: H 1 0 -solutions, L 1 -solutions and L 1 δ -solutions. T
In this paper we study the existence of nontrivial solutions for the problem < < py 2 N ⌬ u s u u in a bounded smooth domain ⍀ ; ޒ , with a nonlinear boundary p < < py 2 Ž . condition given by ٌu Ѩ urѨ s f u on the boundary of the domain. The proofs are based on variational and topological argumen