Note on an elementary inequality and its application to the regularity of p-harmonic functions
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We study the Sobolev regularity of \(p\)-harmonic functions. We show that \(|Du|^{\frac{p-2+s}{2}}Du\) belongs to the Sobolev space \(W^{1,2}_{\operatorname{loc}}\), \(s>-1-\frac{p-1}{n-1}\), for any \(p\)-harmonic function \(u\). The proof is based on an elementary inequality.
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2003 ◽
Vol DMTCS Proceedings vol. AC,...
(Proceedings)
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2019 ◽
Vol 132
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pp. 457-482
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1948 ◽
Vol 44
(2)
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pp. 289-291
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Optimal growth of harmonic functions frequently hypercyclic for the partial differentiation operator
2019 ◽
Vol 149
(6)
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pp. 1577-1594
1997 ◽
Vol 49
(1)
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pp. 55-73
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1949 ◽
Vol 45
(2)
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pp. 207-212
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1944 ◽
Vol 62
(1)
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pp. 31-36