PARTIAL REGULARITY RESULT OF SUPERQUADRATIC ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS-中国Betway体育网页登陆

摘要 Weconsiderthepartialregularityforweaksolutionstosuperquadraticellipticsystemswithcontrollablegrowthcondition,undertheassumptionofDinicontinuouscoefficients.Theproofreliesuponaniterationschemeofadecayestimateforanewtypeofexcessfunctional.Toestablishthedecayestimate,weusethetechniqueofA-harmonicapproximationandobtainageneralcriterionforaweaksolutiontoberegularintheneighborhoodofagivenpoint.Inparticular,theproofyieldsdirectlytheoptimalH¨olderexponentforthederivativeoftheweaksolutionsontheregularset.

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PARTIAL REGULARITY RESULT OF SUPERQUADRATIC ELLIPTIC SYSTEMS WITH DINI CONTINUOUS COEFFICIENTS

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