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Mar 11, 2014 at 10:03 history edited username CC BY-SA 3.0
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Mar 11, 2014 at 9:52 history edited username CC BY-SA 3.0
completed the answer with an example
Mar 11, 2014 at 5:36 comment added MSSHD What about $W^{1,4}$, Actually I would like to prove we have the minimizer in $W^{1,4}$ not in $W^{1,2}$.
Mar 10, 2014 at 16:35 comment added username @MSSHD see updated answer
Mar 10, 2014 at 16:34 history edited username CC BY-SA 3.0
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Mar 10, 2014 at 14:29 comment added MSSHD Indeed what I'm trying to do is to show that the energy functional $e(f, Q)$ admit local minimizers. I would be grateful if you let me know yours ideas.
Mar 10, 2014 at 12:33 history edited username CC BY-SA 3.0
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Mar 10, 2014 at 12:24 history answered username CC BY-SA 3.0