## Abstract We consider elliptic and parabolic problems in unbounded domains. We give general existence and regularity results in Besov spaces and semi‐explicit representation formulas via operator‐valued fundamental solutions which turn out to be a powerful tool to derive a series of qualitative r
Hardy Inequalities and Some Critical Elliptic and Parabolic Problems
✍ Scribed by J.P. Garcı́a Azorero; I. Peral Alonso
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 421 KB
- Volume
- 144
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
📜 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.
## Abstract We discuss some reversed Hölder inequalities yielding for functions on R~+~ satisfying one or two conditions of quasi‐monotonicity. All cases of equality are pointed out. By using these results and some recent results by the present authors (see [3]), we prove some new reversed inequali
In this paper we investigate two classes of overdetermined initial and boundary value problems of parabolic type. Under appropriate assumptions we conclude that the solutions u(x, t) of the considered problems must be radially symmetric, which implies radial symmetry of the boundary con"guration.
## Abstract The paper deals with sharp embeddings of the spaces __B__ and __F__ into rearrangement‐variant spaces and related Hardy inequalities. Here (1/~p~, __s__) belongs to the interior of the shaded invariant spaces region in the Figure