具臨界Sobolev-Hardy指數(shù)和Hardy項(xiàng)的橢圓問(wèn)題正解的存在性.pdf

1、南京師范大學(xué)碩士學(xué)位論文具臨界SobolevHardy指數(shù)和Hardy項(xiàng)的橢圓問(wèn)題正解的存在性姓名：吳紅云申請(qǐng)學(xué)位級(jí)別：碩士專(zhuān)業(yè)：數(shù)學(xué)；應(yīng)用數(shù)學(xué)指導(dǎo)教師：張吉慧20090514AbstractAbstractEllipticequationwithboundaryvalueproblemisanimptantstudyareaintheregionofpartialdifferentialequationithasgreatapplic

2、ationinPhysicsmechanicsengineeringtechnology.InrecentyearstherehasbeenanincreasinginterestinellipticproblemswithcriticalSobolevHardyexponentsHardyterm.Thisthesisstudiesmainlytheexistenceofpositivesolutionsftheseproblems.

3、Themainresultsaresummarizedasfollows:FirstlyweconsidertheexistenceofpositivesolutionsfsingularellipticsystemswithcriticalSobolevHardyexponentsHardytermbyusingmountainpasstheem?analytictechniquestrongmaximumprinciple.Seco

4、ndlywestudytheexistenceofpositivesolutionsofaclassofquasilinearellipticproblemwithcriticalSobolevHardyexponentHardytypetermviamountainpasstheemstrongmaximumprinciple.KeyWds:MountainpasstheemPositivesolutionSingularityCri