(2,p)-laplace方程正解的存在性

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1、20183a¬ÆØ©(2;p)-Laplace•§)•35Šö6¶4¦¦•“ùÓ²BÇƉ;’Ä:êÆïÄ••š‚5•¼©ÛüêƉÆÆÆSc•2015c9–2018c6˜lc8ìÜŒÆ20183a¬ÆØ©(2;p)-Laplace•§)•35Šö6¶4¦¦•“ùÓ²BÇƉ;’Ä:êÆïÄ••š‚5•¼©ÛüêƉÆÆÆSc•2015c9–2018c6o˜lc8ThesisforMaster'sdegree,ShanxiUniversity,2018Existenceofpositivesolut

2、ionsto(2;p)-LaplacianequationStudentNameHuihuiLiuSupervisorA/Prof.ZhanpingLiangMajorFundamentalMathematicsFieldofResearchNonlinearFunctionalAnalysisDepartmentSchoolofMathematicalSciencesResearchDuration2015.9-2018.6June,20188¹¥©Á‡..............................................

3、.................................iAbstract..............................................................................iii1˜Ùp>2ž(2;p)-Laplace•§)•35......................................1x1.1Úó...........................................................................1x1.2

4、;5^‡......................................................................4x1.3̇½nA^..............................................................7x1.4µã...........................................................................91Ù1

5、..................11x2.1Úó..........................................................................11x2.2ý•£.....................................................................13x2.3̇½ny².............................................................15x2.4µã...............

6、...........................................................18ë•©z.............................................................................19ïĤJ.............................................................................21—...............................................

7、...................................22‡<{¹9éX•ª.................................................................23«ìÖ................................................................................24ÆØ©¦^Ç(²...............................................................25Cont

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