HW2,2
loc-regularity for p-harmonic functions in Heisenberg groups
Abstract Let 1 < p ≤ 4 {1<p\leq 4} when n = 1 {n=1} , and 1 < p < 3 + 1 n - 1 {1<p<3+\frac{1}{n-1}} when n ≥ 2 {n\geq 2} . We obtain the second-order horizontal Sobolev HW loc 2 , 2 {\operatorname{HW}^{2,2}_{\mathrm{loc}}} -regularity of p-harmonic functions in the Heisenberg group ℍ n {{\mathbb{H}}^{n}} . This improves the known range of p obtained by Domokos and Manfredi in 2005.
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1991 ◽
Vol 123
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pp. 103-117
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2014 ◽
Vol 16
(04)
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pp. 1350049
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2020 ◽
Vol 58
(4)
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pp. 477-496
1986 ◽
Vol 38
(2)
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pp. 478-512
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2015 ◽
Vol 14
(5)
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pp. 1841-1863
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2004 ◽
Vol 07
(04)
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pp. 527-546
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