For nonnegative L-measurable functions u : R" -+ R a continuous homotopy u', 0 < t 5 + co, is constructed, connecting u with its Steinersymmetrization u\*. It is shown that a number of familiar relations between u and u\* including some integral inequalities are also valid for u and u'. The method i
β¦ LIBER β¦
Elliptic equations and Steiner symmetrization
β Scribed by A. Alvino; G. Trombetti; J. I. Diaz; P. L. Lions
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 640 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
β¦ Synopsis
We give some comparison results for elliptic equations by using Steiner symmetrization. @ 1996
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In this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form A(u) = H (x, u, Du)+g (x, u), where the principal term is a Leray-Lions operator defined on W 1,p 0 ( ). Comparison results are obtained between the rearrangement of a solution u of Dirichlet problem