Journal article
Regularity in Orlicz spaces for the Poisson equation
Manuscripta mathematica, Vol.122(3), pp.265-275
03/2007
DOI: 10.1007/s00229-006-0066-y
Abstract
In this paper, we establish a regularity theory in the Orlicz space for the Poisson equation −Δu = f, where f lies in the Orlicz space
$$L^{\phi}$$
with
$$\phi$$
satisfying Δ2 and ∇2 conditions. The proof is based on standard W
2, p
estimates and Hardy–Littlewood maximal functions.
Details
- Title: Subtitle
- Regularity in Orlicz spaces for the Poisson equation
- Creators
- Huilian Jia - Department of Mathematics Xi’an Jiaotong University Xi’an 710049 ChinaDongsheng Li - Department of Mathematics Xi’an Jiaotong University Xi’an 710049 ChinaLihe Wang - Department of Mathematics Xi’an Jiaotong University Xi’an 710049 China
- Resource Type
- Journal article
- Publication Details
- Manuscripta mathematica, Vol.122(3), pp.265-275
- Publisher
- Springer-Verlag
- DOI
- 10.1007/s00229-006-0066-y
- ISSN
- 0025-2611
- eISSN
- 1432-1785
- Language
- English
- Date published
- 03/2007
- Academic Unit
- Mathematics
- Record Identifier
- 9984083220802771
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