2014 / June Volume 9 No.2
On The Lower Semicontinuity Of Quasiconvex Integrals
| Published Date |
2014 / June
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|---|---|
| Title | On The Lower Semicontinuity Of Quasiconvex Integrals |
| Author | |
| Keyword | |
| Download | |
| Pagination | 245-266 |
| Abstract | In this paper, dedicated to Neil Trudinger in the occasion of his 70th birthday, we propose a relatively elementary proof of the weak lower semicontinuity in $W^{1,p}$ of a general integral of the Calculus of Variations of the type (1.1) below with a quasiconvex density function satisfying p-growth conditions. Several comments and references on the related literature, and a subsection devoted to some properties of the maximal function operator, are also included.
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| AMS Subject Classification |
49J45; 49K20
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| Received |
2013-07-21
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| Accepted |
2014-04-06
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