The geometry of m-hyperconvex domains
classification
🧮 math.CV
math.CA
keywords
domainsexhaustionfunctionsgeometryhyperconvexadmitsbarrierbounded
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We study the geometry of $m$-regular domains within the Caffarelli-Nirenberg-Spruck model in terms of barrier functions, envelopes, exhaustion functions, and Jensen measures. We prove among other things that every $m$-hyperconvex domain admits an exhaustion function that is negative, smooth, strictly $m$-subharmonic, and has bounded $m$-Hessian measure.
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