A-調(diào)和逼近方法和具可控增長條件的非線性橢圓方程組最優(yōu)內(nèi)部部分正則性.pdf

1、廈門大學碩士學位論文A調(diào)和逼近方法和具可控增長條件的非線性橢圓方程組最優(yōu)內(nèi)部部分正則性姓名：李穎穎申請學位級別：碩士專業(yè)：基礎數(shù)學指導教師：譚忠20060501A一調(diào)和逼近方法和具有可控增長條件的非線性橢圓方程組最優(yōu)內(nèi)部部分正則性AbstractInthispaper，weareconcernedwiththepartialregularityfortheweaksolutionofnonlinearellipticsystemofth

2、efollowingtype：一∑D。A(z，“，Du)=且(z，札，D“)，z∈Q，i=1，一，Ⅳn=1InmostdirectproofofpartialregularityonellSesthemethodof’freezesthecoefficientsl’toobtainthedesiredresult，whereusedthecomplexandlongreverseHolderinequalityortheGehringL

3、emmaInthispaper，weareadoptedtothemethodofA—harmonicapproximationwhichwasfirstcarriedoutbyDuzaarandGrotowski，theyconsidertheinteriorpartialregularityoftheweaksolutionsofnonlinearellipticsystemswithnaturalgrowthconditionTh

4、enewmethodnotonlymeal：iswedonotneedthereverseHolderinequalityortheGehringLemma，butalsosimplifiestheprocedureofproofInparticulartheHolderexponentweobtainedisoptimalThatitis，wehavethefollowingmainresult：Theorem11Let札∈日12(Q