A weighted isoperimetric inequality and applications to symmetrization
| Autor: | Brock F, Mercaldo A, Posteraro MR, Betta MF |
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| Jazyk: | angličtina |
| Rok vydání: | 1999 |
| Předmět: | |
| Zdroj: | Journal of Inequalities and Applications, Vol 1999, Iss 3, p 670245 (1999) |
| Druh dokumentu: | article |
| ISSN: | 1025-5834 1029-242X |
| Popis: | We prove an inequality of the form , where is a bounded domain in with smooth boundary, is a ball centered in the origin having the same measure as . From this we derive inequalities comparing a weighted Sobolev norm of a given function with the norm of its symmetric decreasing rearrangement. Furthermore, we use the inequality to obtain comparison results for elliptic boundary value problems. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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