Abstract
This paper utilizes the p-capacity-flux and the p-capacity-radius to make an intrinsic three-fold exploration of the p-capacity for the subconformal case \(1<p<n\) in the Euclidean space \({\mathbb {R}}^n\). Even in the case \(p=2\) the here-established Theorems 1.2–2.2–3.2 are novel.
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The authors wish to thank the managing editor A. Malchiodi and the anonymous referee for their suggestions about how to present this paper.
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Jie Xiao is supported by NSERC of Canada (#20171864); Ning Zhang is supported by NSF of China (# 11901217 and # 11971005).