2007
DOI: 10.1090/s0002-9939-07-08913-7
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On the local Hölder continuity of the inverse of the $p$-Laplace operator

Abstract: Abstract. We prove an interpolation type inequality between C α , L ∞ and L p spaces and use it to establish the local Hölder continuity of the inverse of the p-Laplace operator:, for any f and g in a bounded set in L ∞ (Ω).

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Cited by 7 publications
(1 citation statement)
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References 9 publications
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“…Since, w n is uniformly bounded in C 1,l (Ω) for some l ∈ (0, 1) and by using interpolation inequality [33,Corollary 1.3]) for any θ ∈ (0, 1), we get…”
Section: 1mentioning
confidence: 98%
“…Since, w n is uniformly bounded in C 1,l (Ω) for some l ∈ (0, 1) and by using interpolation inequality [33,Corollary 1.3]) for any θ ∈ (0, 1), we get…”
Section: 1mentioning
confidence: 98%