Dual characterization of fractional capacity via solution of fractional p-Laplace equation |
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Authors: | Shaoguang Shi Lei Zhang |
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Institution: | Department of Mathematics, Linyi University, Linyi, 276005 P. R. China |
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Abstract: | In terms of weak solutions of the fractional p-Laplace equation with measure data, this paper offers a dual characterization for the fractional Sobolev capacity on bounded domain. In addition, two further results are given: one is an equivalent estimate for the fractional Sobolev capacity; the other is the removability of sets of zero capacity and its relation to solutions of the fractional p-Laplace equation. |
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Keywords: | fractional capacity fractional p-Laplace equation fractional Sobolev space |
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