We are concerned with the problem of finding sharp summability conditions on the wvights which render certain weighted inequalities of PoincarB-type true. The conditions we find ixiitsist of proper integral balances between the growths of the rearrangements of the weights. ## I . Introduction We
✦ LIBER ✦
Poincaré inequalities in reflexive cones
✍ Scribed by Petru Jebelean; Radu Precup
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 224 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
We present an abstract result concerning Poincaré inequalities in cones. Some examples in Sobolev spaces are provided. We also discuss an application to a priori bounds of solutions for a general boundary value problem involving the vector p-Laplacian operator.
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